Edit Profile (opens in new tab) Herzog, Jürgen Compute Distance To: Compute Author ID: herzog.jurgen Published as: Herzog, Jürgen; Herzog, J. Homepage: https://www.uni-due.de/~mat300/ External Links: MGP · Wikidata Documents Indexed: 242 Publications since 1970, including 5 Books 6 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 109 Co-Authors with 221 Joint Publications 1,441 Co-Co-Authors all top 5 Co-Authors 28 single-authored 55 Hibi, Takayuki 14 Aramova, Annetta G. 14 Ene, Viviana 13 Ngô Viêt Trung 11 Qureshi, Ayesha Asloob 10 Zheng, Xinxian 9 Popescu, Dorin 9 Vasconcelos, Wolmer V. 8 Stamate, Dumitru Ioan 7 Bigdeli, Mina 7 Bruns, Winfried 7 Cutkosky, Steven Dale 7 Vladoiu, Marius 6 Conca, Aldo 6 Madani, Sara Saeedi 6 Moradi, Somayeh 6 Simis, Aron 6 Welker, Volkmar 5 Restuccia, Gaetana 5 Srinivasan, Hema 5 Waldi, Rolf 5 Zhu, Guangjun 4 Eisenbud, David 4 Ohsugi, Hidefumi 4 Rahimbeigi, Masoomeh 4 Shikama, Akihiro 4 Takayama, Yukihide 4 Ulrich, Bernd 4 Valla, Giuseppe 3 Avramov, Luchezar L. 3 Backelin, Jörgen 3 Jahan, Ali Soleyman 3 Kunz, Ernst 3 Lu, Dancheng 3 Mohammadi, Fatemeh 3 Rahimi, Ahad 3 Rinaldo, Giancarlo 3 Saem, Maryam Mohammadi 3 Sanders, Herbert 3 Steurich, Manfred 3 Terai, Naoki 3 Yassemi, Siamak 3 Zaare-Nahandi, Rashid 2 Bandari, Somayeh 2 Bayati, Shamila 2 De Negri, Emanuela 2 Fløystad, Gunnar 2 Jafari, Raheleh 2 Kuhl, Michael E. 2 Kumashiro, Shinya 2 Macchia, Antonio 2 Murai, Satoshi 2 Reiner, Victor 2 Sharifan, Leila 2 Tang, Zhongming 2 Varbaro, Matteo 2 Vetter, Udo 2 Zamani, Naser 1 Abdolmaleki, Reza 1 Altmann, Klaus 1 Barcanescu, Serban 1 Brennan, Joseph Patrick 1 Brown, William C. 1 Buchweitz, Ragnar-Olaf 1 Caviglia, Giulio 1 Chardin, Marc 1 Chu, Lizhong 1 Cipu, Mihai 1 Dinu, Rodica 1 Eliahou, Shalom 1 Engelken, Margaret 1 Erey, Nursel 1 Goto, Shiro 1 Grayson, Daniel Richard 1 Greve, Bjørn Møller 1 Hà, Huy Tài 1 Hochster, Melvin 1 Hreinsdóttir, Freyja 1 Huneke, Craig L. 1 Iyengar, Srikanth B. 1 Kahle, Thomas 1 Kamoi, Yuji 1 Khosh-Ahang, Fahimeh 1 Kiani, Dariush 1 Kummini, Manoj 1 Lajmiri, Bahareh 1 Lê Tuâń Hoa 1 Li Marzi, Enzo Maria 1 Mafi, Amir 1 Maleki, Rasoul Ahangari 1 Marcos, Eduardo N. 1 Martsinkovsky, Alex 1 Miller, Matthew P. 1 Moghimipor, Roya 1 Nasrollah Nejad, Abbas 1 O’Carroll, Liam 1 Page, Janet 1 Puthenpurakal, Tony J. 1 Rahmati, Farhad 1 Rauf, Asia ...and 13 more Co-Authors all top 5 Serials 18 Journal of Algebra 14 Manuscripta Mathematica 13 Proceedings of the American Mathematical Society 12 Journal of Pure and Applied Algebra 11 Archiv der Mathematik 11 Journal of Algebraic Combinatorics 10 Transactions of the American Mathematical Society 9 Nagoya Mathematical Journal 6 Communications in Algebra 6 Mathematische Zeitschrift 6 The Electronic Journal of Combinatorics 5 Advances in Mathematics 5 Illinois Journal of Mathematics 5 European Journal of Combinatorics 4 Mathematica Scandinavica 4 Michigan Mathematical Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Collectanea Mathematica 3 Commentarii Mathematici Helvetici 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Osaka Journal of Mathematics 3 Pacific Journal of Mathematics 3 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica Vietnamica 2 American Journal of Mathematics 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal für die Reine und Angewandte Mathematik 2 Semigroup Forum 2 Advances in Applied Mathematics 2 International Journal of Algebra and Computation 2 Algebra Colloquium 2 Cambridge Studies in Advanced Mathematics 2 Graduate Texts in Mathematics 2 Journal of Commutative Algebra 2 Kyoto Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Le Matematiche 1 Results in Mathematics 1 Combinatorica 1 Journal of Symbolic Computation 1 Annals of Combinatorics 1 Homology, Homotopy and Applications 1 Journal of Algebra and its Applications 1 Graduate Studies in Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Algorithms and Computation in Mathematics 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 International Electronic Journal of Algebra (IEJA) all top 5 Fields 242 Commutative algebra (13-XX) 66 Combinatorics (05-XX) 41 Algebraic geometry (14-XX) 16 Associative rings and algebras (16-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Category theory; homological algebra (18-XX) 7 Group theory and generalizations (20-XX) 6 Convex and discrete geometry (52-XX) 5 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 222 Publications have been cited 5,851 times in 3,317 Documents Cited by ▼ Year ▼ Cohen-Macaulay rings. Zbl 0788.13005Bruns, Winfried; Herzog, Jürgen 850 1993 Cohen-Macaulay rings. Rev. ed. Zbl 0909.13005Bruns, Winfried; Herzog, Jürgen 389 1998 Monomial ideals. Zbl 1206.13001Herzog, Jürgen; Hibi, Takayuki 311 2011 Generators and relations of abelian semigroups and semigroup rings. Zbl 0211.33801Herzog, J. 225 1970 Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring). Zbl 0231.13009 204 1971 Asymptotic behaviour of the Castelnuovo-Mumford regularity. Zbl 0974.13015Cutkosky, S. Dale; Herzog, Jürgen; Ngô Viêt Trung 102 1999 Componentwise linear ideals. Zbl 0930.13018Herzog, Jürgen; Hibi, Takayuki 89 1999 Binomial edge ideals and conditional independence statements. Zbl 1196.13018Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes 87 2010 Distributive lattices, bipartite graphs and Alexander duality. Zbl 1090.13017Herzog, Jürgen; Hibi, Takayuki 81 2005 Resolutions by mapping cones. Zbl 1028.13008Herzog, Jürgen; Takayama, Yukihide 79 2002 The depth of powers of an ideal. Zbl 1096.13015Herzog, Jürgen; Hibi, Takayuki 73 2005 Koszul homology and blowing-up rings. Zbl 0499.13002Herzog, J.; Simis, A.; Vasconcelos, W. V. 72 1983 Approximation complexes of blowing-up rings. Zbl 0484.13006Herzog, J.; Simis, A.; Vasconcelos, W. V. 71 1982 How to compute the Stanley depth of a monomial ideal. Zbl 1186.13019Herzog, Jürgen; Vladoiu, Marius; Zheng, Xinxian 67 2009 Castelnuovo-Mumford regularity of products of ideals. Zbl 1074.13004Conca, Aldo; Herzog, Jürgen 65 2003 Gröbner bases and multiplicity of determinantal and Pfaffian ideals. Zbl 0778.13022Herzog, Jürgen; Ngô Viêt Trung 63 1992 Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt 60 2007 Monomial ideals whose powers have a linear resolution. Zbl 1091.13013Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 58 2004 Squarefree lexsegment ideals. Zbl 0914.13007Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 58 1998 Discrete polymatroids. Zbl 1012.05046Herzog, Jürgen; Hibi, Takayuki 56 2002 On the Betti numbers of finite pure and linear resolutions. Zbl 0543.13008Herzog, J.; Kühl, M. 50 1984 Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules. (Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay Moduln.) Zbl 0358.13009Herzog, Jürgen 49 1978 Cohen-Macaulay binomial edge ideals. Zbl 1236.13011Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 48 2011 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014Avramov, Lacezar; Herzog, Jürgen 47 1980 Gotzmann theorems for exterior algebras and combinatorics. Zbl 0897.13030Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 46 1997 Bounds for multiplicities. Zbl 0899.13026Herzog, Jürgen; Srinivasan, Hema 45 1998 Dirac’s theorem on chordal graphs and Alexander duality. Zbl 1062.05075Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 44 2004 Maximally generated Cohen-Macaulay modules. Zbl 0653.13015Brennan, Joseph P.; Herzog, Jürgen; Ulrich, Bernd 44 1987 Approximation complexes of blowing-up rings. II. Zbl 0515.13018Herzog, J.; Simis, A.; Vasconcelos, W. V. 44 1983 Ideals with sliding depth. Zbl 0561.13014Herzog, J.; Vasconcelos, W. V.; Villarreal, R. 43 1985 The stable set of associated prime ideals of a polymatroidal ideal. Zbl 1258.13014Herzog, Jürgen; Rauf, Asia; Vladoiu, Marius 43 2013 Die Wertehalbgruppe eines lokalen Rings der Dimension 1. Zbl 0212.06102Herzog, J.; Kunz, Ernst 42 1971 Componentwise linear ideals and Golod rings. Zbl 0967.13018Herzog, J.; Reiner, V.; Welker, V. 42 1999 On the radical of a monomial ideal. Zbl 1112.13003Herzog, J.; Takayama, Y.; Terai, N. 41 2005 Koszul modules. Zbl 1106.13011Herzog, Jürgen; Iyengar, Srikanth 41 2005 The classification of homogeneous Cohen-Macaulay rings of finite representation type. Zbl 0616.13011Eisenbud, D.; Herzog, J. 41 1988 Finite filtrations of modules and shellable multicomplexes. Zbl 1107.13017Herzog, Jürgen; Popescu, Dorin 41 2006 Linear maximal Cohen-Macaulay modules over strict complete intersections. Zbl 0734.13007Herzog, J.; Ulrich, B.; Backelin, J. 41 1991 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 40 2000 Combinatorial pure subrings. Zbl 1096.13525Ohsugi, Hidefumi; Herzog, Jürgen; Hibi, Takayuki 39 2000 SAGBI bases with applications to blow-up algebras. Zbl 0866.13010Conca, Aldo; Herzog, Jürgen; Valla, Giuseppe 38 1996 Cohen–Macaulay chordal graphs. Zbl 1172.13307Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 38 2006 Ideals with stable Betti numbers. Zbl 0968.13008Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 36 2000 Persistence and stability properties of powers of ideals. Zbl 1305.13005Herzog, Jürgen; Asloob Qureshi, Ayesha 36 2015 Deformationen von Cohen-Macaulay Algebren. Zbl 0425.13005Herzog, J. 35 1980 On the canonical module of the Rees algebra and the associated graded ring of an ideal. Zbl 0613.13007Herzog, J.; Simis, A.; Vasconcelos, W. V. 35 1987 Stanley decompositions and partitionable simplicial complexes. Zbl 1131.13020Herzog, Jürgen; Jahan, Ali Soleyman; Yassemi, Siamak 34 2008 Gröbner bases in commutative algebra. Zbl 1242.13001Ene, Viviana; Herzog, Jürgen 34 2012 A survey on Stanley depth. Zbl 1310.13001Herzog, Jürgen 33 2013 Shifting operations and graded Betti numbers. Zbl 0980.13013Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 32 2000 Binomial ideals. Zbl 1403.13004Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 32 2018 On the arithmetic and homology of algebras of linear type. Zbl 0541.13005Herzog, J.; Simis, A.; Vasconcelos, W. V. 29 1984 Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian 28 2008 Strongly Koszul algebras. Zbl 1061.13008Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana 27 2000 On multigraded resolutions. Zbl 0888.13004Bruns, Winfried; Herzog, Jürgen 27 1995 Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces. Zbl 0920.13003Conca, Aldo; Herzog, Jürgen; Ngô Viêt Trung; Valla, Giuseppe 26 1997 Semigroup rings and simplicial complexes. Zbl 0884.13006Bruns, Winfried; Herzog, Jürgen 25 1997 A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring. Zbl 0316.13011Herzog, Jürgen; Waldi, Rolf 25 1975 Monomial ideals and toric rings of Hibi type arising from a finite poset. Zbl 1262.05154Ene, Viviana; Herzog, Jürgen; Mohammadi, Fatemeh 25 2011 Almost regular sequences and Betti numbers. Zbl 1012.13008Aramova, Annetta; Herzog, Jürgen 24 2000 Koszul cycles and Eliahou-Kervaire type resolutions. Zbl 0868.13014Aramova, Annetta; Herzog, Jürgen 24 1996 Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul. Zbl 0372.13014Herzog, Jürgen 24 1978 Certain complexes associated to a sequence and a matrix. Zbl 0278.13010Herzog, Jürgen 24 1974 The Koszul property in affine semigroup rings. Zbl 0937.20041Herzog, Jürgen; Reiner, Vic; Welker, Volkmar 24 1998 Rigid resolutions and big Betti numbers. Zbl 1080.13008Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki 24 2004 On the computation of a-invariants. Zbl 0783.13018Bruns, Winfried; Herzog, Jürgen 24 1992 Hilbert polynomials and powers of ideals. Zbl 1157.13013Herzog, Jürgen; Puthenpurakal, Tony J.; Verma, Jugal K. 23 2008 Ringe der Charakteristik p und Frobeniusfunktoren. Zbl 0278.13006Herzog, Jürgen 23 1974 Duality and vanishing of generalized local cohomology. Zbl 1083.13006Herzog, Jürgen; Zamani, Naser 22 2003 Sequentially Cohen-Macaulay modules and local cohomology. Zbl 1072.13504Herzog, Jürgen; Sbarra, Enrico 22 2002 The trace of the canonical module. Zbl 1428.13037Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 22 2019 Generic initial ideals and graded Betti numbers. Zbl 1034.13009Herzog, Jürgen 21 2001 Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008Herzog, Jürgen; Hibi, Takayuki 21 2006 On the Hilbert function of determinantal rings and their canonical module. Zbl 0823.13008Conca, Aldo; Herzog, Jürgen 20 1994 On the Ext-modules of ideals of Borel type. Zbl 1050.13008Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius 19 2003 When is a regular sequence super regular? Zbl 0431.13015Herzog, J. 18 1981 Syzygies and walks. Zbl 0938.16505Bruns, Winfried; Herzog, Jürgen; Vetter, Udo 18 1994 Poincaré series of resolutions of surface singularities. Zbl 1076.14006Cutkosky, Steven Dale; Herzog, Jürgen; Reguera, Ana 17 2004 On the defining equations of the tangent cone of a numerical semigroup ring. Zbl 1333.13023Herzog, Jürgen; Stamate, Dumitru I. 17 2014 Ideals of fiber type and polymatroids. Zbl 1092.05012Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius 17 2005 On hyperplane sections of reduced irreducible varieties of low codimension. Zbl 0836.14031Herzog, Jürgen; Ngô Viêt Trung; Valla, Giuseppe 16 1994 Ordinary and symbolic powers are Golod. Zbl 1305.13002Herzog, Jürgen; Huneke, Craig 16 2013 Depth and regularity modulo a principal ideal. Zbl 1448.13028Caviglia, Giulio; Hà, Huy Tài; Herzog, Jürgen; Kummini, Manoj; Terai, Naoki; Trung, Ngo Viet 15 2019 On the divisor class group of Rees-algebras. Zbl 0562.13003Herzog, J.; Vasconcelos, W. V. 15 1985 Hilbert functions and generic forms. Zbl 0908.13008Herzog, Jürgen; Popescu, Dorin 15 1998 Letterplace and co-letterplace ideals of posets. Zbl 1356.13023Fløystad, Gunnar; Greve, Bjørn Møller; Herzog, Jürgen 15 2017 Self-linked curve singularities. Zbl 0708.14032Herzog, Jürgen; Ulrich, Bernd 15 1990 Asymptotic linear bounds for the Castelnuovo-Mumford regularity. Zbl 1012.13006Herzog, Jürgen; Lê Tuân Hoa; Ngô Viêt Trung 15 2002 Finite lattices and lexicographic Gröbner bases. Zbl 0969.13010Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 14 2000 On the subadditivity problem for maximal shifts in free resolutions. Zbl 1359.13012Herzog, Jürgen; Srinivasan, Hema 14 2015 Expansions of monomial ideals and multigraded modules. Zbl 1327.13042Bayati, Shamila; Herzog, Jürgen 14 2014 Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki 14 2014 On the extremal Betti numbers of binomial edge ideals of block graphs. Zbl 1395.13010Herzog, Jürgen; Rinaldo, Giancarlo 13 2018 One dimensional local rings of maximal and almost maximal length. Zbl 0773.13006Brown, William C.; Herzog, Jürgen 13 1992 The possible extremal Betti numbers of a homogeneous ideal. Zbl 1291.13022Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo 13 2014 Arithmetic of normal Rees algebras. Zbl 0754.13003Herzog, Jürgen; Simis, Aron; Vasconcelos, Wolmer V. 12 1991 Monomial localizations and polymatroidal ideals. Zbl 1273.13035Bandari, Somayeh; Herzog, Jürgen 12 2013 Stanley depth and size of a monomial ideal. Zbl 1234.13013Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius 12 2012 The number of generators of the powers of an ideal. Zbl 1423.13105Herzog, Jürgen; Saem, Maryam Mohammadi; Zamani, Naser 12 2019 Gluing Cohen-Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities. Zbl 0799.14016Herzog, Jürgen; Martsinkovsky, Alex 11 1993 Regularity and the Gorenstein property of \(L\)-convex polyominoes. Zbl 1460.05205Ene, Viviana; Herzog, Jürgen; Qureshi, Ayesha Asloob; Romeo, Francesco 2 2021 Restricted classes of Veronese type ideals and algebras. Zbl 1461.13010Dinu, Rodica; Herzog, Jürgen; Qureshi, Ayesha Asloob 2 2021 Graded Bourbaki ideals of graded modules. Zbl 1483.13006Herzog, Jürgen; Kumashiro, Shinya; Stamate, Dumitru I. 1 2021 Canonical trace ideal and residue for numerical semigroup rings. Zbl 07395083Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 1 2021 Sortable Freiman ideals. Zbl 1469.13027Herzog, J.; Zhu, G. 3 2020 On the initial behaviour of the number of generators of powers of monomial ideals. Zbl 1488.13063Abdolmaleki, Reza; Herzog, Jürgen; Zaare-Nahandi, Rashid 2 2020 Ulrich elements in normal simplicial affine semigroups. Zbl 1458.05268Herzog, Jürgen; Jafari, Raheleh; Stamate, Dumitru I. 2 2020 An upper bound for the regularity of powers of edge ideals. Zbl 1444.13011Herzog, Jürgen; Hibi, Takayuki 2 2020 Matching numbers and the regularity of the Rees algebra of an edge ideal. Zbl 1446.13018Herzog, Jürgen; Hibi, Takayuki 2 2020 Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs. Zbl 1460.13031Herzog, Jürgen; Khosh-Ahang, Fahimeh; Moradi, Somayeh; Rahimbeigi, Masoomeh 1 2020 The trace of the canonical module. Zbl 1428.13037Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 22 2019 Depth and regularity modulo a principal ideal. Zbl 1448.13028Caviglia, Giulio; Hà, Huy Tài; Herzog, Jürgen; Kummini, Manoj; Terai, Naoki; Trung, Ngo Viet 15 2019 The number of generators of the powers of an ideal. Zbl 1423.13105Herzog, Jürgen; Saem, Maryam Mohammadi; Zamani, Naser 12 2019 Freiman ideals. Zbl 1410.13007Herzog, Jürgen; Zhu, Guangjun 7 2019 Almost symmetric numerical semigroups. Zbl 1467.20072Herzog, Jürgen; Watanabe, Kei-ichi 7 2019 \(t\)-spread strongly stable monomial ideals. Zbl 1426.13004Ene, Viviana; Herzog, Jürgen; Qureshi, Ayesha Asloob 7 2019 The relevance of Freiman’s theorem for combinatorial commutative algebra. Zbl 1412.13025Herzog, Jürgen; Hibi, Takayuki; Zhu, Guangjun 4 2019 Cohen-Macaulay criteria for projective monomial curves via Gröbner bases. Zbl 1433.13023Herzog, Jürgen; Stamate, Dumitru I. 4 2019 Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings. Zbl 1437.13040Herzog, Jürgen; Mohammadi, Fatemeh; Page, Janet 4 2019 The fiber cone of a monomial ideal in two variables. Zbl 1430.13047Herzog, Jürgen; Qureshi, Ayesha Asloob; Saem, Maryam Mohammadi 3 2019 On the monomial reduction number of a monomial ideal in \(K[x, y]\). Zbl 07157356Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh; Jahan, Ali Soleyman 1 2019 On the associated prime ideals and the depth of powers of squarefree principal Borel ideals. Zbl 1418.13013Herzog, Jürgen; Lajmiri, Bahareh; Rahmati, Farhad 1 2019 Binomial ideals. Zbl 1403.13004Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 32 2018 On the extremal Betti numbers of binomial edge ideals of block graphs. Zbl 1395.13010Herzog, Jürgen; Rinaldo, Giancarlo 13 2018 Monomial ideals with tiny squares. Zbl 1403.13033Eliahou, Shalom; Herzog, Jürgen; Mohammadi Saem, Maryam 11 2018 On the index of powers of edge ideals. Zbl 1428.13032Bigdeli, Mina; Herzog, Jürgen; Zaare-Nahandi, Rashid 5 2018 Koszul cycles and Golod rings. Zbl 1403.13005Herzog, Jürgen; Maleki, Rasoul Ahangari 4 2018 Isotonian algebras. Zbl 1430.13042Bigdeli, Mina; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob; Shikama, Akihiro 2 2018 Stability properties of powers of ideals in regular local rings of small dimension. Zbl 1390.13007Herzog, Jürgen; Mafi, Amir 1 2018 Toric rings, inseparability and rigidity. Zbl 1409.13035Bigdeli, Mina; Herzog, Jürgen; Lu, Dancheng 1 2018 Letterplace and co-letterplace ideals of posets. Zbl 1356.13023Fløystad, Gunnar; Greve, Bjørn Møller; Herzog, Jürgen 15 2017 Simplicial orders and chordality. Zbl 1436.13028Bigdeli, Mina; Herzog, Jürgen; Yazdan Pour, Ali Akbar; Zaare-Nahandi, Rashid 6 2017 The linear strand of determinantal facet ideals. Zbl 1370.16005Herzog, Jürgen; Kiani, Dariush; Madani, Sara Saeedi 5 2017 Betti diagrams with special shape. Zbl 1406.13020Bigdeli, Mina; Herzog, Jürgen 5 2017 Quadratic numerical semigroups and the Koszul property. Zbl 1390.13014Herzog, Jürgen; Stamate, Dumitru I. 2 2017 Anticanonical modules of Segre products. Zbl 1399.13025Ene, Viviana; Herzog, Jürgen; Stamate, Dumitru I. 1 2017 Algebraically rigid simplicial complexes and graphs. Zbl 1430.13032Altmann, Klaus; Bigdeli, Mina; Herzog, Jürgen; Lu, Dancheng 7 2016 Alexander duality for monomial ideals associated with isotone maps between posets. Zbl 1342.13011Herzog, Jürgen; Qureshi, Ayesha Asloob; Shikama, Akihiro 5 2016 Homology of powers of ideals: Artin-Rees numbers of syzygies and the Golod property. Zbl 1360.13012Herzog, Jürgen; Welker, Volkmar; Yassemi, Siamak 4 2016 Bi-Cohen-Macaulay graphs. Zbl 1329.05316Herzog, Jürgen; Rahimi, Ahad 4 2016 Persistence and stability properties of powers of ideals. Zbl 1305.13005Herzog, Jürgen; Asloob Qureshi, Ayesha 36 2015 On the subadditivity problem for maximal shifts in free resolutions. Zbl 1359.13012Herzog, Jürgen; Srinivasan, Hema 14 2015 On the ideal of orthogonal representations of a graph in \(\mathbb{R}^2\). Zbl 1322.05098Herzog, Jürgen; Macchia, Antonio; Madani, Sara Saeedi; Welker, Volkmar 10 2015 Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021Herzog, Jürgen; Hibi, Takayuki 9 2015 Pseudo-Gorenstein and level Hibi rings. Zbl 1311.05215Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara 8 2015 Gröbner bases of balanced polyominoes. Zbl 1315.13043Herzog, Jürgen; Qureshi, Ayesha Asloob; Shikama, Akihiro 7 2015 Linearly related polyominoes. Zbl 1327.13038Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 7 2015 A note on the regularity of Hibi rings. Zbl 1325.05189Ene, Viviana; Herzog, Jürgen; Saeedi Madani, Sara 6 2015 Linear flags and Koszul filtrations. Zbl 1330.13011Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 4 2015 Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs. Zbl 1318.13014Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob 2 2015 Simplicial complexes of Whisker type. Zbl 1309.13014Bigdeli, Mina; Herzog, Jürgen; Hibi, Takayuki; Macchia, Antonio 1 2015 On the defining equations of the tangent cone of a numerical semigroup ring. Zbl 1333.13023Herzog, Jürgen; Stamate, Dumitru I. 17 2014 Expansions of monomial ideals and multigraded modules. Zbl 1327.13042Bayati, Shamila; Herzog, Jürgen 14 2014 Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki 14 2014 The possible extremal Betti numbers of a homogeneous ideal. Zbl 1291.13022Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo 13 2014 The binomial edge ideal of a pair of graphs. Zbl 1298.13020Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob 6 2014 Monomial ideals with primary components given by powers of monomial prime ideals. Zbl 1307.13014Herzog, Jürgen; Vladoiu, Marius 6 2014 Koszul binomial edge ideals. Zbl 1327.13043Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 5 2014 The coordinate ring of a simple polyomino. Zbl 1326.05029Herzog, Jürgen; Saeedi Madani, Sara 5 2014 Generalized mixed product ideals. Zbl 1303.13012Herzog, Jürgen; Moghimipor, Roya; Yassemi, Siamak 4 2014 Bounds for the regularity of local cohomology of bigraded modules. Zbl 1298.13017Herzog, Jürgen; Rahimi, Ahad 1 2014 The stable set of associated prime ideals of a polymatroidal ideal. Zbl 1258.13014Herzog, Jürgen; Rauf, Asia; Vladoiu, Marius 43 2013 A survey on Stanley depth. Zbl 1310.13001Herzog, Jürgen 33 2013 Ordinary and symbolic powers are Golod. Zbl 1305.13002Herzog, Jürgen; Huneke, Craig 16 2013 Monomial localizations and polymatroidal ideals. Zbl 1273.13035Bandari, Somayeh; Herzog, Jürgen 12 2013 Determinantal facet ideals. Zbl 1271.13029Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Mohammadi, Fatemeh 9 2013 Squarefree monomial ideals with constant depth function. Zbl 1284.13015Herzog, Jürgen; Vladoiu, Marius 8 2013 Gröbner bases in commutative algebra. Zbl 1242.13001Ene, Viviana; Herzog, Jürgen 34 2012 Stanley depth and size of a monomial ideal. Zbl 1234.13013Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius 12 2012 On the stable set of associated prime ideals of a monomial ideal. Zbl 1255.13007Bayati, Shamila; Herzog, Jürgen; Rinaldo, Giancarlo 7 2012 Ideals generated by adjacent 2-minors. Zbl 1267.13046Herzog, Jürgen; Hibi, Takayuki 6 2012 Finite lattices and Gröbner bases. Zbl 1260.13033Herzog, Jürgen; Hibi, Takayuki 4 2012 Monomial ideals. Zbl 1206.13001Herzog, Jürgen; Hibi, Takayuki 311 2011 Cohen-Macaulay binomial edge ideals. Zbl 1236.13011Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 48 2011 Monomial ideals and toric rings of Hibi type arising from a finite poset. Zbl 1262.05154Ene, Viviana; Herzog, Jürgen; Mohammadi, Fatemeh 25 2011 Powers of componentwise linear ideals. Zbl 1317.13009Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 8 2011 The Betti polynomials of powers of an ideal. Zbl 1202.13002Herzog, Jürgen; Welker, Volkmar 6 2011 Gröbner bases of syzygies and Stanley depth. Zbl 1220.13010Fløystad, Gunnar; Herzog, Jürgen 2 2011 Binomial edge ideals and conditional independence statements. Zbl 1196.13018Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes 87 2010 Asymptotic growth of algebras associated to powers of ideals. Zbl 1200.13010Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema 11 2010 Skeletons of monomial ideals. Zbl 1211.13010Herzog, Jürgen; Jahan, Ali Soleyman; Zheng, Xinxian 6 2010 How to compute the Stanley depth of a monomial ideal. Zbl 1186.13019Herzog, Jürgen; Vladoiu, Marius; Zheng, Xinxian 67 2009 Unmixed bipartite graphs and sublattices of the Boolean lattices. Zbl 1186.13020Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 5 2009 Bounds for Hilbert coefficients. Zbl 1162.13010Herzog, Jürgen; Zheng, Xinxian 4 2009 Vertex cover algebras of unimodular hypergraphs. Zbl 1159.13002Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt 3 2009 Stanley decompositions and partitionable simplicial complexes. Zbl 1131.13020Herzog, Jürgen; Jahan, Ali Soleyman; Yassemi, Siamak 34 2008 Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian 28 2008 Hilbert polynomials and powers of ideals. Zbl 1157.13013Herzog, Jürgen; Puthenpurakal, Tony J.; Verma, Jugal K. 23 2008 Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs. Zbl 1175.05136Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Trung, Ngô Viêt; Zheng, Xinxian 8 2008 Componentwise linear ideals with minimal or maximal Betti numbers. Zbl 1167.13009Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Takayama, Yukihide 4 2008 Duality and tameness. Zbl 1179.13011Chardin, Marc; Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema 4 2008 Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt 60 2007 A generalization of the Taylor complex construction. Zbl 1121.13013Herzog, Jürgen 10 2007 Failure of tameness for local cohomology. Zbl 1119.13012Cutkosky, Steven Dale; Herzog, Jürgen 4 2007 Local duality for bigraded modules. Zbl 1142.13016Herzog, Jürgen; Rahimi, Ahad 3 2007 Finite filtrations of modules and shellable multicomplexes. Zbl 1107.13017Herzog, Jürgen; Popescu, Dorin 41 2006 Cohen–Macaulay chordal graphs. Zbl 1172.13307Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 38 2006 Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008Herzog, Jürgen; Hibi, Takayuki 21 2006 Notes on the multiplicity conjecture. Zbl 1116.13022Herzog, Jürgen; Zheng, Xinxian 8 2006 The monomial ideal of a finite meet-semilattice. Zbl 1096.13016Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 3 2006 ...and 122 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,045 Authors 138 Herzog, Jürgen 89 Hibi, Takayuki 48 Goto, Shiro 46 Ulrich, Bernd 44 Simis, Aron 44 Yassemi, Siamak 43 Ngô Viêt Trung 43 Vasconcelos, Wolmer V. 40 Takahashi, Ryo 36 Seyed Fakhari, Seyed Amin 35 Hà, Huy Tài 35 Huneke, Craig L. 33 Conca, Aldo 33 Murai, Satoshi 33 Terai, Naoki 33 Villarreal, Rafael Heraclio 31 Van Tuyl, Adam 30 Römer, Tim 28 Ene, Viviana 27 García Sánchez, Pedro A. 26 Eisenbud, David 26 Nagel, Uwe 25 Bruns, Winfried 24 Kustin, Andrew R. 23 Ohsugi, Hidefumi 23 Puthenpurakal, Tony J. 23 Yoshida, Ken-ichi 22 Iyengar, Srikanth B. 22 Mohammadi, Fatemeh 22 Popescu, Dorin 22 Srinivasan, Hema 21 Crupi, Marilena 21 Peeva, Irena V. 21 Qureshi, Ayesha Asloob 21 Rosales, José Carlos 20 Chardin, Marc 20 Mirò-Roig, Rosa Maria 20 Varbaro, Matteo 20 Welker, Volkmar 20 Yanagawa, Kohji 19 Rinaldo, Giancarlo 18 Katthän, Lukas 18 Lê Tuâń Hoa 18 Migliore, Juan Carlos 18 Trung, Trân Nam 17 Morey, Susan E. 17 Nasernejad, Mehrdad 17 Nguyen, Dang Hop 17 Strazzanti, Francesco 16 Madani, Sara Saeedi 16 Matsuda, Kazunori 16 Moradi, Somayeh 16 Nguyen Cong Minh 16 Polini, Claudia 16 Rossi, Maria Evelina 16 Shen, Yihuang 16 Verma, Jugal Kishore 16 Wiegand, Roger Allen 16 Zhu, Guangjun 15 De Negri, Emanuela 15 Fløystad, Gunnar 15 Francisco, Christopher A. 14 Casnati, Gianfranco 14 Caviglia, Giulio 14 D’Anna, Marco 14 Tang, Zhongming 14 Tsuchiya, Akiyoshi 14 Watanabe, Kei-ichi 14 Zanello, Fabrizio 13 Celikbas, Olgur 13 Cutkosky, Steven Dale 13 Dao, Hailong 13 Jafari, Raheleh 13 Schenzel, Peter 13 Sharifan, Leila 13 Valla, Giuseppe 12 Avramov, Luchezar L. 12 Jahan, Ali Soleyman 12 Jayanthan, A. V. 12 Juhnke-Kubitzke, Martina 12 Kimura, Kyouko 12 Kumar, Arvind 12 Kunz, Ernst 12 Mafi, Amir 12 Pournaki, Mohammad Reza 12 Rahmati, Farhad 12 Sather-Wagstaff, Sean 12 Seceleanu, Alexandra 11 Corso, Alberto 11 Gimenez, Philippe 11 Hong, Jooyoun 11 Ichim, Bogdan 11 Kleppe, Jan Oddvar 11 McCullough, Jason 11 Miller, Matthew P. 11 Miranda Neto, Cleto B. 11 Morales, Marcel 11 Moyano Fernández, Julio José 11 Planas-Vilanova, Francesc 11 Reyes, Enrique ...and 1,945 more Authors all top 5 Cited in 239 Serials 578 Journal of Algebra 314 Journal of Pure and Applied Algebra 264 Communications in Algebra 187 Proceedings of the American Mathematical Society 130 Transactions of the American Mathematical Society 93 Journal of Commutative Algebra 92 Advances in Mathematics 82 Journal of Algebraic Combinatorics 73 Mathematische Zeitschrift 69 Manuscripta Mathematica 68 Journal of Algebra and its Applications 53 Journal of Combinatorial Theory. 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Third Series 4 Documenta Mathematica 4 Vietnam Journal of Mathematics 4 Algebraic & Geometric Topology 3 Discrete Applied Mathematics ...and 139 more Serials all top 5 Cited in 49 Fields 2,748 Commutative algebra (13-XX) 982 Algebraic geometry (14-XX) 716 Combinatorics (05-XX) 231 Group theory and generalizations (20-XX) 220 Associative rings and algebras (16-XX) 141 Convex and discrete geometry (52-XX) 80 Number theory (11-XX) 75 Category theory; homological algebra (18-XX) 69 Order, lattices, ordered algebraic structures (06-XX) 69 Algebraic topology (55-XX) 68 Several complex variables and analytic spaces (32-XX) 58 Computer science (68-XX) 44 Manifolds and cell complexes (57-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 28 Nonassociative rings and algebras (17-XX) 22 Information and communication theory, circuits (94-XX) 15 \(K\)-theory (19-XX) 15 Statistics (62-XX) 12 Field theory and polynomials (12-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Operations research, mathematical programming (90-XX) 9 Differential geometry (53-XX) 9 Numerical analysis (65-XX) 8 Special functions (33-XX) 8 Geometry (51-XX) 6 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 6 Probability theory and stochastic processes (60-XX) 5 Partial differential equations (35-XX) 4 General algebraic systems (08-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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