Books

Der kanonische Modul eines Cohen-Macaulay Rings,  J. Herzog - E. Kunz, Lecture Notes in Mathematics, Bd. 138 (1971)

Cohen-Macaulay rings, W. Bruns and J. Herzog,
Cambridge Studies in Advanced Mathematics 39,
ISBN 0 521 56674 6 paperback (revised edition)

Combinatorics and Commutative Algebra. Three lectures on commutative algebra, J.Herzog, 73--121, Univ. Lecture Ser.42, Amer. Math. Soc., Providence, RI, 2008.

Monomial Ideals., J. Herzog - T. Hibi,  GTM 260. Springer 2010.

Gröbner Bases in Commutative Algebra, V. Ene, J. Herzog,  GSM 130. Amer. Math.Soc.

 

Preprints

J.Herzog, T.Hibi, Bounding the socles of powers of squarefree monomial ideals.  arXiv:1308.5400 [math.AC]. To appear in the MSRI Book Series.

J.Herzog, H.Srinivasan, A note on the subadditivity problem for maximal shifts in free resolutions. arXiv:1303.6214 [math.AC]. To appear in the MSRI Book Series.

J.Herzog, L.Sharifan, M.Varbaro,  An intriguing ring structure on the set of d-forms. arXiv:1308.6237 [math.AC]. To appear in the MSRI Book Series.

V.Ene, J.Herzog, T.Hibi, Linear flags and Koszul filtrations. arXiv:1312.2190 [math.AC] To appear in Kyoto J.\ Math.

J.Herzog, A.Asloob Qureshi, A.Shikama,  Gröbner bases of balanced polyominoes. arXiv:1403.6920 [math.AC] To appear in Math. Nachrichten

V.Ene, J.Herzog, T.Hibi,  Linearly related polyominoes. arXiv:1403.4349 [math.AC] To appear in J.\ Alg.\ Combinatorics.

V.Ene, J. Herzog, S.Saeedi Madani,  A note on the regularity of Hibi rings. arXiv:1404.2554 [math.AC], to appear in manuscripta mathematica

J.Herzog, S.Saeedi Madani, The coordinate ring of a simple polyomino. arXiv:1408.4275 [math.AC]

M.Bigdeli, J.Herzog, R.Zaare-Nahandi,  On the index of powers of edge ideals. arXiv:1408.5475 [math.AC]

J.Herzog, A.Macchia, S.Saeedi Madani, V.Welker,  On the ideal of orthogonal representations of a graph in $R^2$. arXiv:1411.3674 [math.AC9]

M.Bigdeli, J.Herzog, T.Hibi, A.Macchia,  Simplicial complexes of whisker type. arXiv:1411.7890 [math.AC], to appear in Electronic J. Comb.

G.Floystad, B.Moller Greve, J.Herzog,  Letterplace and co-letterplace ideals of posets. arXiv:1501.04523 [math.AC]

K.Altmann, M.Bigdeli, J.Herzog, Dancheng Lu, Algebraically rigid simplicial complexes and graphs, arXiv:1503.08080 [math.AC]

 

Papers

V.Ene, J.Herzog, T.Hibi, S.Saeedi Madani, Pseudo-Gorenstein and level Hibi rings. J. Algebra  431 (2015), 138--161.

V.Ene, J.Herzog, T.Hibi,  Koszul binomial edge ideals. In "Bridging Algebra, Geometry, and Topology"  Springer Proceedings in Mathematics \& Statistics, Vol. 96,  Ibadula, Denis, Veys, Willem (Eds.) page 125--136.

Herzog, Jürgen; Asloob Qureshi, Ayesha, Persistence and stability properties of powers of ideals. J. Pure Appl. Algebra 219 (2015), no. 3, 530–542.

Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob, The binomial edge ideal of a pair of graphs. Nagoya Math. J. 213 (2014), 105–125.

Herzog, Jürgen; Stamate, Dumitru I., On the defining equations of the tangent cone of a numerical semigroup ring. J. Algebra 418 (2014), 8–28.
 
Herzog, Jürgen; Moghimipor, Roya; Yassemi, Siamak, Generalized mixed product ideals. Arch. Math. (Basel) 103 (2014), no. 1, 39–51.

Herzog, Jürgen; Vladoiu, Marius, Monomial ideals with primary components given by powers of monomial prime ideals. Electron. J. Combin. 21 (2014), no. 1, Paper 1.69, 18 pp.
 
Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo, The possible extremal Betti numbers of a homogeneous ideal. Proc. Amer. Math. Soc. 142 (2014), no. 6, 1875–1891. 

Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki, Monomial ideals whose depth function has any given number of strict local maxima. Ark. Mat. 52 (2014), no. 1, 11–19. 
 
Herzog, Jürgen; Rahimi, Ahad, Bounds for the regularity of local cohomology of bigraded modules. Beitr. Algebra Geom. 55 (2014), no. 1, 289–300. 

Herzog, Jürgen, A survey on Stanley depth. Monomial ideals, computations and applications, 3–45, Lecture Notes in Math., 2083, Springer, Heidelberg, 2013.

Herzog, Jürgen; Huneke, Craig, Ordinary and symbolic powers are Golod. Adv. Math. 246 (2013), 89–99.

Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Mohammadi, Fatemeh, Determinantal facet ideals. Michigan Math. J. 62 (2013), no. 1, 39–57. 

Herzog, Jürgen; Vladoiu, Marius, Squarefree monomial ideals with constant depth function. J. Pure Appl. Algebra 217 (2013), no. 9, 1764–1772. 

Herzog, Jürgen; Rauf, Asia; Vladoiu, Marius, The stable set of associated prime ideals of a polymatroidal ideal. J. Algebraic Combin. 37 (2013), no. 2, 289–312.
 
Bandari, Somayeh; Herzog, Jürgen, Monomial localizations and polymatroidal ideals. European J. Combin. 34 (2013), no. 4, 752–763.
 
Herzog, Jürgen; Hibi, Takayuki, Ideals generated by adjacent 2-minors. J. Commut. Algebra 4 (2012), no. 4, 525–549. 
More links

Herzog, Jürgen; Hibi, Takayuki, Finite lattices and Gröbner bases. Math. Nachr. 285 (2012), no. 16, 1969–1973.
 
Bayati, Shamila; Herzog, Jürgen; Rinaldo, Giancarlo, On the stable set of associated prime ideals of a monomial ideal. Arch. Math. (Basel) 98 (2012), no. 3, 213–217.
 
Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius, Stanley depth and size of a monomial ideal. Proc. Amer. Math. Soc. 140 (2012), no. 2, 493–504. 

Ene, Viviana; Herzog, Jürgen, Gröbner bases in commutative algebra. Graduate Studies in Mathematics, 130. American Mathematical Society, Providence, RI, 2012. xii+164 pp. ISBN: 978-0-8218-7287-1 (Reviewer: P. Schenzel)

Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi,  Powers of componentwise linear ideals. Combinatorial aspects of commutative algebra and algebraic geometry, 49–60, Abel Symp., 6, Springer, Berlin, 2011. 

Ene, Viviana; Herzog, Jürgen; Mohammadi, Fatemeh, Monomial ideals and toric rings of Hibi type arising from a finite poset. European J. Combin. 32 (2011), no. 3, 404–421. 

Fløystad, Gunnar; Herzog, Jürgen, Gröbner bases of syzygies and Stanley depth. J. Algebra 328 (2011), 178–189.

Herzog, Jürgen; Welker, Volkmar, The Betti polynomials of powers of an ideal. J. Pure Appl. Algebra 215 (2011), no. 4, 589–596. 

Herzog, Jürgen; Hibi, Takayuki, Monomial ideals. Graduate Texts in Mathematics, 260. Springer-Verlag London, Ltd., London, 2011. xvi+305 pp. ISBN: 978-0-85729-105-9 

Herzog, Jürgen; Soleyman Jahan, Ali; Zheng, Xinxian, Skeletons of monomial ideals. Math. Nachr. 283 (2010), no. 10, 1403–1408.

Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes, Binomial edge ideals and conditional independence statements. Adv. in Appl. Math. 45 (2010), no. 3, 317–333.

Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema,  Asymptotic growth of algebras associated to powers of ideals. Math. Proc. Cambridge Philos. Soc. 148 (2010), no. 1, 55–72.
 
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi Unmixed bipartite graphs and sublattices of the Boolean lattices. J. Algebraic Combin. 30 (2009), no. 4, 415–420.
 
Herzog, Jürgen; Vladoiu, Marius; Zheng, Xinxian, How to compute the Stanley depth of a monomial ideal. J. Algebra 322 (2009), no. 9, 3151–3169.

Herzog, Jürgen; Zheng, Xinxian Bounds for Hilbert coefficients. Proc. Amer. Math. Soc. 137 (2009), no. 2, 487–494.
 
Herzog, Jürgen; Hibi, Takayuki; Ngô Viêt Trung, Vertex cover algebras of unimodular hypergraphs. Proc. Amer. Math. Soc. 137 (2009), no. 2, 409–414.

Herzog, Jürgen; Welker, Volkmar,  Pragmatic. Matematiche (Catania) 63 (2008), no. 2, 115–116 (2009).

Chardin, Marc; Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema, Duality and tameness. Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 137–155.
 
Herzog, Jürgen; Puthenpurakal, Tony J.; Verma, Jugal K., Hilbert polynomials and powers of ideals. Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 3, 623–642. 
 
Herzog, Jürgen Combinatorics and commutative algebra. Three lectures on commutative algebra, 73–121, Univ. Lecture Ser., 42, Amer. Math. Soc., Providence, RI, 2008.

Herzog, Jürgen; Jahan, Ali Soleyman; Yassemi, Siamak, Stanley decompositions and partitionable simplicial complexes. J. Algebraic Combin. 27 (2008), no. 1, 113–125.
 
Herzog, Jürgen; Rahimi, Ahad,  Local duality for bigraded modules. Illinois J. Math. 51 (2007), no. 1, 137–150

Cutkosky, Steven Dale; Herzog, Jürgen,  Failure of tameness for local cohomology. J. Pure Appl. Algebra 211 (2007), no. 2, 428–432.
 
Herzog, Jürgen A generalization of the Taylor complex construction. Comm. Algebra 35 (2007), no. 5, 1747–1756.
 
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt Symbolic powers of monomial ideals and vertex cover algebras. Adv. Math. 210 (2007), no. 1, 304–322.

Herzog, Jürgen; Popescu, Dorin Finite filtrations of modules and shellable multicomplexes. Manuscripta Math. 121 (2006), no. 3, 385–410.

Herzog, Jürgen; Restuccia, Gaetana; Rinaldo, Giancarlo, On the depth and regularity of the symmetric algebra. Beiträge Algebra Geom. 47 (2006), no. 1, 29–51. 

Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian, Cohen-Macaulay chordal graphs. J. Combin. Theory Ser. A 113 (2006), no. 5, 911–916.

Herzog, Jürgen; Zheng, Xinxian, Notes on the multiplicity conjecture. Collect. Math. 57 (2006), no. 2, 211–226.

Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian, The monomial ideal of a finite meet-semilattice. Trans. Amer. Math. Soc. 358 (2006), no. 9, 4119–4134.

Herzog, Jürgen; Hibi, Takayuki, Cohen-Macaulay polymatroidal ideals. European J. Combin. 27 (2006), no. 4, 513–517. 

Herzog, Jürgen; Hibi, Takayuki, Level rings arising from meet-distributive meet-semilattices. Nagoya Math. J. 181 (2006), 29–39.

Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius, Ideals of fiber type and polymatroids. Osaka J. Math. 42 (2005), no. 4, 807–829.

Herzog, Jürgen; Hibi, Takayuki, Distributive lattices, bipartite graphs and Alexander duality. J. Algebraic Combin. 22 (2005), no. 3, 289–302.

Herzog, J.; Takayama, Y.; Terai, N., On the radical of a monomial ideal. Arch. Math. (Basel) 85 (2005), no. 5, 397–408.

Herzog, Jürgen, Finite free resolutions. Computational commutative and non-commutative algebraic geometry, 118–144, NATO Sci. Ser. III Comput. Syst. Sci., 196, IOS, Amsterdam, 2005.

Herzog, Jürgen; Hibi, Takayuki, The depth of powers of an ideal. J. Algebra 291 (2005), no. 2, 534–550.

Herzog, Jürgen; Iyengar, Srikanth Koszul modules. J. Pure Appl. Algebra 201 (2005), no. 1-3, 154–188.

Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki, Rigid resolutions and big Betti numbers. Comment. Math. Helv. 79 (2004), no. 4, 826–839.

Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian,  Monomial ideals whose powers have a linear resolution. Math. Scand. 95 (2004), no. 1, 23–32.

Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian,  Dirac's theorem on chordal graphs and Alexander duality. European J. Combin. 25 (2004), no. 7, 949–960.

Herzog, Jürgen, Alexander duality in commutative algebra and combinatorics. Proceedings of the International Conference on Algebra. Algebra Colloq. 11 (2004), no. 1, 21–30.

Herzog, Jürgen; Srinivasan, Hema, Multiplicities of monomial ideals. J. Algebra 274 (2004), no. 1, 230–244. 

Cutkosky, Steven Dale; Herzog, Jürgen; Reguera, Ana, Poincaré series of resolutions of surface singularities. Trans. Amer. Math. Soc. 356 (2004), no. 5, 1833–1874.

Herzog, Jürgen; Tang, Zhongming; Zarzuela, Santiago, Symmetric and Rees algebras of Koszul cycles and their Gröbner bases. Manuscripta Math. 112 (2003), no. 4, 489–509.

Herzog, Jürgen; Takayama, Yukihide, Approximations of generalized Cohen-Macaulay modules. Illinois J. Math. 47 (2003), no. 4, 1287–1302.

Herzog, Jürgen; Zamani, Naser, Duality and vanishing of generalized local cohomology. Arch. Math. (Basel) 81 (2003), no. 5, 512–519.

Herzog, Jürgen; O'Carroll, Liam; Popescu, Dorin, Explicit linear minimal free resolutions over a natural class of Rees algebras. Arch. Math. (Basel) 81 (2003), no. 6, 636–645.

Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius, On the Ext-modules of ideals of Borel type. Commutative algebra (Grenoble/Lyon, 2001), 171–186, Contemp. Math., 331, Amer. Math. Soc., Providence, RI, 2003.

Conca, Aldo; Herzog, Jürgen, Castelnuovo-Mumford regularity of products of ideals. Collect. Math. 54 (2003), no. 2, 137–152. 

Herzog, Jürgen, Koszul algebras and modules. Advances in algebra and geometry (Hyderabad, 2001), 25–37, Hindustan Book Agency, New Delhi, 2003. 

Herzog, Jürgen; Hibi, Takayuki, Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity. Proc. Amer. Math. Soc. 131 (2003), no. 9, 2641–2647 (electronic).

Herzog, Jürgen; Hibi, Takayuki, Discrete polymatroids. J. Algebraic Combin. 16 (2002), no. 3, 239–268 (2003).

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Shellability of semigroup rings. Nagoya Math. J. 168 (2002), 65–84. 

Herzog, Jürgen; Sbarra, Enrico, Sequentially Cohen-Macaulay modules and local cohomology. Algebra, arithmetic and geometry, Part I, II (Mumbai, 2000), 327–340, Tata Inst. Fund. Res. Stud. Math., 16, Tata Inst. Fund. Res., Bombay,

Herzog, Jürgen; Takayama, Yukihide,  Resolutions by mapping cones. The Roos Festschrift volume, 2. Homology Homotopy Appl. 4 (2002), no. 2, part 2, 277–294.

Herzog, Jürgen, Generic initial ideals and graded Betti numbers. Computational commutative algebra and combinatorics (Osaka, 1999), 75–120, Adv. Stud. Pure Math., 33, Math. Soc. Japan, Tokyo, 2002. 

Herzog, Jürgen; Popescu, Dorin; Trung, Ngô Viêt, Regularity of Rees algebras. J. London Math. Soc. (2) 65 (2002), no. 2, 320–338.

Herzog, Jürgen; Lê Tuân Hoa; Ngô Viêt Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity. Trans. Amer. Math. Soc. 354 (2002), no. 5, 1793–1809.

Herzog, Jürgen; Popescu, Dorin, On the regularity of p-Borel ideals. Proc. Amer. Math. Soc. 129 (2001), no. 9, 2563–2570. 

Herzog, Jürgen; Restuccia, Gaetana; Tang, Zhongming, s-sequences and symmetric algebras. Manuscripta Math. 104 (2001), no. 4, 479–501.

Herzog, Jürgen; Restuccia, Gaetana, Regularity functions for homogeneous algebras. Arch. Math. (Basel) 76 (2001), no. 2, 100–108.

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Shifting operations and graded Betti numbers. J. Algebraic Combin. 12 (2000), no. 3, 207–222.

Ohsugi, Hidefumi; Herzog, Jürgen; Hibi, Takayuki, Combinatorial pure subrings. Osaka J. Math. 37 (2000), no. 3, 745–757.

Aramova, Annetta; Herzog, Jürgen Almost regular sequences and Betti numbers. Amer. J. Math. 122 (2000), no. 4, 689–719.

 Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Ideals with stable Betti numbers. Adv. Math. 152
(2000), no. 1, 72–77.

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Finite lattices and lexicographic Gröbner bases. European J. Combin. 21 (2000), no. 4, 431–439.

Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana, Strongly Koszul algebras. Math. Scand. 86 (2000), no. 2, 161–178. 

Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen Resolutions of monomial ideals and cohomology over exterior algebras. Trans. Amer. Math. Soc. 352 (2000), no. 2, 579–594.

Cutkosky, S. Dale; Herzog, Jürgen; Trung, Ngô Viêt, Asymptotic behaviour of the Castelnuovo-Mumford regularity. Compositio Math. 118 (1999), no. 3, 243–261.

Herzog, Jürgen; Li Marzi, Enzo Maria, Bounds for the Betti numbers of shellable simplicial complexes and polytopes. Commutative algebra and algebraic geometry (Ferrara), 157–167, Lecture Notes in Pure and Appl. Math., 206, Dekker, New York, 1999.

Herzog, J.; Reiner, V.; Welker, V., Componentwise linear ideals and Golod rings. Michigan Math. J. 46 (1999), no. 2, 211–223. 

Herzog, Jürgen; Terai, Naoki, Stable properties of algebraic shifting. Results Math. 35 (1999), no. 3-4, 260–265. 

Herzog, Jürgen; Hibi, Takayuki, Componentwise linear ideals. Nagoya Math. J. 153 (1999), 141–153. 

Herzog, Jürgen; Reiner, Vic; Welker, Volkmar, The Koszul property in affine semigroup rings. Pacific J. Math. 186 (1998), no. 1, 39–65.

Herzog, Jürgen; Popescu, Dorin, Hilbert functions and generic forms. Compositio Math. 113 (1998), no. 1, 1–22. 

Aramova, Annetta; De Negri, Emanuela; Herzog, Jürgen, Lexsegment ideals with linear resolution. Illinois J. Math. 42 (1998), no. 3, 509–523.

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Squarefree lexsegment ideals. Math. Z. 228 (1998), no. 2, 353–378.

Herzog, Jürgen; Kamoi, Yuji Taylor, complexes for Koszul boundaries. Manuscripta Math. 96 (1998), no. 2, 133–147. 

Herzog, Jürgen; Srinivasan, Hema, Bounds for multiplicities. Trans. Amer. Math. Soc. 350 (1998), no. 7, 2879–2902.

De Negri, Emanuela; Herzog, Jürgen, Completely lexsegment ideals. Proc. Amer. Math. Soc. 126 (1998), no. 12, 3467–3473. 

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Weakly stable ideals. Osaka J. Math. 34 (1997), no. 4, 745–755.

Cutkosky, S. Dale; Herzog, Jürgen, Cohen-Macaulay coordinate rings of blowup schemes. Comment. Math. Helv. 72 (1997), no. 4, 605–617.

Conca, Aldo; Herzog, Jürgen, Ladder determinantal rings have rational singularities. Adv. Math. 132 (1997), no. 1, 120–147.

Herzog, Jürgen; Popescu, Dorin, Thom-Sebastiani problems for maximal Cohen-Macaulay modules. Math. Ann. 309 (1997), no. 4, 677–700.

Bruns, Winfried; Herzog, Jürgen, Semigroup rings and simplicial complexes. J. Pure Appl. Algebra 122 (1997), no. 3, 185–208.

Conca, Aldo; Herzog, Jürgen; Trung, Ngô Viêt; Valla, Giuseppe, Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces. Amer. J. Math. 119 (1997), no. 4, 859–901.

Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki, Gotzmann theorems for exterior algebras and combinatorics. J. Algebra 191 (1997), no. 1, 174–211.

Aramova, Annetta; Herzog, Jürgen,  p-Borel principal ideals. Illinois J. Math. 41 (1997), no. 1, 103–121. 

Herzog, Jürgen; Hibi, Takayuki, Upper bounds for the number of facets of a simplicial complex. Proc. Amer. Math. Soc. 125 (1997), no. 6, 1579–1583.

Conca, Aldo; Herzog, Jürgen; Valla, Giuseppe, Sagbi bases with applications to blow-up algebras. J. Reine Angew. Math. 474 (1996), 113–138.

Aramova, Annetta; Herzog, Jürgen, Koszul cycles and Eliahou-Kervaire type resolutions. J. Algebra 181 (1996), no. 2, 347–370.

Aramova, Anneta; Bărcănescu, Şerban; Herzog, Jürgen, On the rate of relative Veronese submodules. Rev. Roumaine Math. Pures Appl. 40 (1995), no. 3-4, 243–251.

Aramova, Annetta; Herzog, Jürgen, Free resolutions and Koszul homology. J. Pure Appl. Algebra 105 (1995), no. 1, 1–16.

Bruns, Winfried; Herzog, Jürgen, On multigraded resolutions. Math. Proc. Cambridge Philos. Soc. 118 (1995), no. 2, 245–257.

Bruns, Winfried; Herzog, Jürgen; Vetter, Udo, Syzygies and walks. Commutative algebra (Trieste, 1992), 36–57, World Sci. Publ., River Edge, NJ, 1994.

Avramov, Luchezar L.; Herzog, Jürgen,  Jacobian criteria for complete intersections. The graded case. Invent. Math. 117 (1994), no. 1, 75–88.

Herzog, Jürgen,  On the index of a homogeneous Gorenstein ring. Commutative algebra: syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992), 95–102, Contemp. Math., 159, Amer. Math. Soc., Providence, RI, 1994.

Herzog, Jürgen; Trung, Ngô Viêt; Valla, Giuseppe,  On hyperplane sections of reduced irreducible varieties of low codimension. J. Math. Kyoto Univ. 34 (1994), no. 1, 47–72. 

Conca, Aldo; Herzog, Jürgen, On the Hilbert function of determinantal rings and their canonical module. Proc. Amer. Math. Soc. 122 (1994), no. 3, 677–681.

Cipu, Mihai; Herzog, Jürgen; Popescu, Dorin, Indecomposable generalized Cohen-Macaulay modules. Trans. Amer. Math. Soc. 342 (1994), no. 1, 107–136.

Bruns, Winfried; Herzog, Jürgen, Cohen-Macaulay rings. Cambridge Studies in Advanced Mathematics, 39. Cambridge University Press, Cambridge, 1993. xii+403 pp. ISBN: 0-521-41068-1 (Reviewer: Matthew Miller)

Herzog, Jürgen; Martsinkovsky, Alex,  Gluing Cohen-Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities. Comment. Math. Helv. 68 (1993), no. 3, 365–384.

Herzog, Jürgen, Canonical Koszul cycles. International Seminar on Algebra and its Applications (Spanish) (México City, 1991), 33–41, Aportaciones Mat. Notas Investigación, 6, Soc. Mat. Mexicana, México, 1992. 

Herzog, Jürgen, On the multiplicities of certain Rees-rings and determinantal rings. International Seminar on Algebra and its Applications (Spanish) (México City, 1991), 29–32, Aportaciones Mat. Notas Investigación, 6, Soc. Mat. Mexicana, México, 1992.

Herzog, Jürgen, On two-dimensional quasihomogeneous isolated singularities. II. Arch. Math. (Basel) 59 (1992), no. 6, 556–561.

Bruns, Winfried; Herzog, Jürgen, On the computation of a-invariants. Manuscripta Math. 77 (1992), no. 2-3, 201–213.

Herzog, Jürgen; Trung, Ngô Viêt, Gröbner bases and multiplicity of determinantal and Pfaffian ideals. Adv. Math. 96 (1992), no. 1, 1–37. 

Brown, William C.; Herzog, Jürgen, One-dimensional local rings of maximal and almost maximal length. J. Algebra 151 (1992), no. 2, 332–347.

Herzog, Jürgen; Trung, Ngô Viêt; Ulrich, Bernd, On the multiplicity of blow-up rings of ideals generated by d-sequences. J. Pure Appl. Algebra 80 (1992), no. 3, 273–297. 

Herzog, Jürgen; Marcos, Eduardo; Waldi, Rolf, On the Grothendieck group of a quotient singularity defined by a finite abelian group. J. Algebra 149 (1992), no. 1, 122–138.

Herzog, Jürgen; Simis, Aron; Vasconcelos, Wolmer V.,  Arithmetic of normal Rees algebras. J. Algebra 143 (1991), no. 2, 269–294.

Herzog, J.; Ulrich, B.; Backelin, J., Linear maximal Cohen-Macaulay modules over strict complete intersections. J. Pure Appl. Algebra 71 (1991), no. 2-3, 187–202. 

Herzog, Jürgen,  Tensor products of Clifford modules and linear maximal Cohen-Macaulay modules on quadrics. Topics in algebra, Part 2 (Warsaw, 1988), 125–140, Banach Center Publ., 26, Part 2, PWN, Warsaw, 1990.

Herzog, Jürgen; Ulrich, Bernd, Self-linked curve singularities. Nagoya Math. J. 120 (1990), 129–153.

Herzog, Jürgen, A homological approach to symbolic powers. Commutative algebra (Salvador, 1988), 32–46, Lecture Notes in Math., 1430, Springer, Berlin, 1990. 

Backelin, Jörgen; Herzog, Jürgen,  On Ulrich-modules over hypersurface rings. Commutative algebra (Berkeley, CA, 1987), 63–68, Math. Sci. Res. Inst. Publ., 15, Springer, New York, 1989. 

Backelin, Jörgen; Herzog, Jürgen; Sanders, Herbert, Matrix factorizations of homogeneous polynomials. Algebra—some current trends (Varna, 1986), 1–33, Lecture Notes in Math., 1352, Springer, Berlin, 1988. 

Herzog, Jürgen; Sanders, Herbert, Indecomposable syzygy-modules of high rank over hypersurface rings. J. Pure Appl. Algebra 51 (1988), no. 1-2, 161–168.

Eisenbud, David; Herzog, Jürgen, The classification of homogeneous Cohen-Macaulay rings of finite representation type. Math. Ann. 280 (1988), no. 2, 347–352. 

Herzog, Jürgen; Kühl, Michael, Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki-sequences. Commutative algebra and combinatorics (Kyoto, 1985), 65–92, Adv. Stud. Pure Math., 11, North-Holland, Amsterdam, 1987. 

Brennan, Joseph P.; Herzog, Jürgen; Ulrich, Bernd, Maximally generated Cohen-Macaulay modules. Math. Scand. 61 (1987), no. 2, 181–203.

Herzog, J., Linear Cohen-Macaulay modules on integral quadrics. Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin (Paris, 1986), 214–227, Lecture Notes in Math., 1296, Springer, Berlin, 1987. 

Herzog, Jürgen; Sanders, Herbert, The Grothendieck group of invariant rings and of simple hypersurface singularities. Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), 134–149, Lecture Notes in Math., 1273, Springer, Berlin, 1987.

Buchweitz, Ragnar-Olaf; Eisenbud, David; Herzog, Jürgen, Cohen-Macaulay modules on quadrics. Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), 58–116, Lecture Notes in Math., 1273, Springer, Berlin, 1987. 

Herzog, J.; Simis, A.; Vasconcelos, W. V., On the canonical module of the Rees algebra and the associated graded ring of an ideal. J. Algebra 105 (1987), no. 2, 285–302.

Herzog, J.; Rossi, M. E.; Valla, G. On the depth of the symmetric algebra. Trans. Amer. Math. Soc. 296
(1986), no. 2, 577–606. (Reviewer: Matthew Miller)

Herzog, Jürgen; Waldi, Rolf, Cotangent functors of curve singularities. Manuscripta Math. 55 (1986), no. 3-4, 307–341.

Herzog, J.; Vasconcelos, W. V.; Villarreal, R., Ideals with sliding depth. Nagoya Math. J. 99 (1985), 159–172. 

Herzog, Jürgen; Miller, Matthew, Gorenstein ideals of deviation two. Comm. Algebra 13 (1985), no. 9, 1977–1990.

Herzog, J.; Vasconcelos, W. V., On the divisor class group of Rees-algebras. J. Algebra 93 (1985), no. 1, 182–188. 

Herzog, J.; Waldi, R., Differentials of linked curved singularities. Arch. Math. (Basel) 42 (1984), no. 4, 335–343. 

Herzog, J.; Kühl, M., On the Betti numbers of finite pure and linear resolutions. Comm. Algebra 12 (1984), no. 13-14, 1627–1646.

Herzog, J.; Simis, A.; Vasconcelos, W. V., On the arithmetic and homology of algebras of linear type. Trans. Amer. Math. Soc. 283 (1984), no. 2, 661–683.

Herzog, J.; Simis, A.; Vasconcelos, W. V., Koszul homology and blowing-up rings. Commutative algebra (Trento, 1981), pp. 79–169, Lecture Notes in Pure and Appl. Math., 84, Dekker, New York, 1983.

Herzog, J.; Simis, A.; Vasconcelos, W. V., Approximation complexes of blowing-up rings. II. J. Algebra 82 (1983), no. 1, 53–83.

Herzog, J., Strict local rings. Proc. Amer. Math. Soc. 84 (1982), no. 2, 165–172. 

Herzog, J., Necessary conditions for an analytic algebra to be strict. Commutative algebra: Durham 1981 (Durham, 1981), pp. 163–169, London Math. Soc. Lecture Note Ser., 72, Cambridge Univ. Press, Cambridge, 1982. 

Herzog, J.; Simis, A.; Vasconcelos, W. V., Approximation complexes of blowing-up rings. J. Algebra 74 (1982), no. 2, 466–493. 

Herzog, J. When is a regular sequence super regular? Nagoya Math. J. 83 (1981), 183–195.

Avramov, Lâcezar; Herzog, Jürgen, The Koszul algebra of a codimension 2 embedding. Math. Z. 175 (1980), no. 3, 249–260.

Herzog, Jürgen, Deformationen von Cohen-Macaulay Algebren. (German) J. Reine Angew. Math. 318 (1980), 83–105.

Herzog, Jürgen; Steurich, Manfred, Two applications of change of rings theorems for Poincaré series. Proc. Amer. Math. Soc. 73 (1979), no. 2, 163–168.

Herzog, Jürgen, Deformation of certain Gorenstein singularities. Séminaire d'Algèbre Paul Dubreil 31ème année (Paris, 977–1978), pp. 230–236, Lecture Notes in Math., 740, Springer, Berlin, 1979. 

Herzog, Jürgen, Eindimensionale fast-vollständige Durchschnitte sind nicht starr. (German) Manuscripta Math. 30 (1979/80), no. 1, 1–19.

Herzog, Jürgen; Steurich, Manfred, Berechnung einiger Poincaré-Reihen. (German) Fund. Math. 105 (1979/80), no. 2, 127–145.

Herzog, Jürgen; Steurich, Manfred, Golodideale der Gestalt a∩b. (German) J. Algebra 58 (1979), no. 1, 31–36. 

Herzog, Jürgen, Ein Cohen-Macaulay-Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul. (German) Math. Z. 163 (1978), no. 2, 149–162.

Herzog, Jürgen, Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay-Moduln. (German) Math. Ann. 233 (1978), no. 1, 21–34. 

Herzog, Jürgen, Algebra retracts and Poincaré-series. Manuscripta Math. 21 (1977), no. 4, 307–314.

Herzog, Jürgen; Waldi, Rolf, A note on the Hilbert function of a one-dimensional Cohen-Macaulay ring. Manuscripta Math. 16 (1975), no. 3, 251–260.

Herzog, Jürgen, Certain complexes associated to a sequence and a matrix. Manuscripta Math. 12 (1974), 217–248. 

Herzog, Jürgen, Ringe der Charakteristik p und Frobeniusfunktoren. (German) Math. Z. 140 (1974), 67–78.

Herzog, J.; Kunz, E., On the deviation and the type of a Cohen-Macaulay ring. Manuscripta Math. 9 (1973), 383–388.

Herzog, Jürgen, Die Struktur des kanonischen Moduls: Anwendungen. (German) Der kanonische Modul eines Cohen-Macaulay-Rings (Sem. Lokale Kohomologietheorie von Grothendieck, Univ. Regensburg, Regensburg, 1970/1971), pp. 59–84, 103. Lecture Notes in Math., Vol. 238, Springer, Berlin, 1971.

Herzog, Jürgen, Die Struktur des kanonischen Ideals eines eindimensionalen CM-Rings: Charakterisierung eindimensionaler Gorensteinringe. (German) Der kanonische Modul eines Cohen-Macaulay-Rings (Sem. Lokale Kohomologietheorie von

Grothendieck, Univ. Regensburg, Regensburg, 1970/1971), pp. 25–32, 103. Lecture Notes in Math., Vol. 238, Springer, Berlin, 1971.

Herzog, J.; Kunz, E., Die Wertehalbgruppe eines lokalen Rings der Dimension 1. (German) S.-B. Heidelberger Akad. Wiss. Math. Natur. Kl. 1971, 27–67.

Herzog, Jürgen, Generators and relations of abelian semigroups and semigroup rings. Manuscripta Math. 3 1970 175–193.

Herzog, Jürgen, Die Kählerschen Differenten verallgemeinerter Halbgruppenringe. (German) Arch. Math. (Basel) 21 1970  278–283.