Edit Profile (opens in new tab) Herzog, Jürgen Co-Author Distance Author ID: herzog.jurgen Published as: Herzog, Jürgen; Herzog, J. Homepage: https://www.uni-due.de/~mat300/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 251 Publications since 1970, including 5 Books 6 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 112 Co-Authors with 230 Joint Publications 1,529 Co-Co-Authors all top 5 Co-Authors 28 single-authored 58 Hibi, Takayuki 14 Aramova, Annetta G. 14 Ene, Viviana 13 Ngô Viêt Trung 11 Qureshi, Ayesha Asloob 10 Zheng, Xinxian 9 Moradi, Somayeh 9 Popescu, Dorin 9 Stamate, Dumitru Ioan 9 Vasconcelos, Wolmer V. 7 Bigdeli, Mina 7 Bruns, Winfried 7 Cutkosky, Steven Dale 7 Rahimbeigi, Masoomeh 7 Vladoiu, Marius 7 Zhu, Guangjun 6 Conca, Aldo 6 Madani, Sara Saeedi 6 Simis, Aron 6 Welker, Volkmar 5 Restuccia, Gaetana 5 Srinivasan, Hema 5 Waldi, Rolf 4 Eisenbud, David 4 Ohsugi, Hidefumi 4 Shikama, Akihiro 4 Takayama, Yukihide 4 Ulrich, Bernd 4 Valla, Giuseppe 3 Avramov, Luchezar L. 3 Backelin, Jörgen 3 Jahan, Ali Soleyman 3 Kumashiro, Shinya 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 Abdolmaleki, Reza 2 Bandari, Somayeh 2 Bayati, Shamila 2 De Negri, Emanuela 2 Ficarra, Antonino 2 Fløystad, Gunnar 2 Jafari, Raheleh 2 Kuhl, Michael E. 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 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 Gasanova, Oleksandra 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. ...and 16 more Co-Authors all top 5 Serials 19 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 Nagoya Mathematical Journal 10 Transactions of the American Mathematical Society 7 Communications in Algebra 7 The Electronic Journal of Combinatorics 6 Mathematische Zeitschrift 5 Advances in Mathematics 5 Illinois Journal of Mathematics 5 Mathematica Scandinavica 5 European Journal of Combinatorics 4 Michigan Mathematical Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Beiträge zur Algebra und Geometrie 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 3 Kyoto Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 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 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 Mediterranean Journal of Mathematics 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) 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 251 Commutative algebra (13-XX) 70 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 231 Publications have been cited 6,635 times in 3,713 Documents Cited by ▼ Year ▼ Cohen-Macaulay rings. Zbl 0788.13005Bruns, Winfried; Herzog, Jürgen 1,033 1993 Cohen-Macaulay rings. Rev. ed. Zbl 0909.13005Bruns, Winfried; Herzog, Jürgen 476 1998 Monomial ideals. Zbl 1206.13001Herzog, Jürgen; Hibi, Takayuki 371 2011 Generators and relations of abelian semigroups and semigroup rings. Zbl 0211.33801Herzog, J. 237 1970 Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring). Zbl 0231.13009 218 1971 Asymptotic behaviour of the Castelnuovo-Mumford regularity. Zbl 0974.13015Cutkosky, S. Dale; Herzog, Jürgen; Ngô Viêt Trung 117 1999 Componentwise linear ideals. Zbl 0930.13018Herzog, Jürgen; Hibi, Takayuki 99 1999 Binomial edge ideals and conditional independence statements. Zbl 1196.13018Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes 96 2010 Distributive lattices, bipartite graphs and Alexander duality. Zbl 1090.13017Herzog, Jürgen; Hibi, Takayuki 90 2005 Resolutions by mapping cones. Zbl 1028.13008Herzog, Jürgen; Takayama, Yukihide 89 2002 The depth of powers of an ideal. Zbl 1096.13015Herzog, Jürgen; Hibi, Takayuki 77 2005 Koszul homology and blowing-up rings. Zbl 0499.13002Herzog, J.; Simis, A.; Vasconcelos, W. V. 77 1983 Approximation complexes of blowing-up rings. Zbl 0484.13006Herzog, J.; Simis, A.; Vasconcelos, W. V. 74 1982 Castelnuovo-Mumford regularity of products of ideals. Zbl 1074.13004Conca, Aldo; Herzog, Jürgen 71 2003 Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt 70 2007 How to compute the Stanley depth of a monomial ideal. Zbl 1186.13019Herzog, Jürgen; Vladoiu, Marius; Zheng, Xinxian 69 2009 Gröbner bases and multiplicity of determinantal and Pfaffian ideals. Zbl 0778.13022Herzog, Jürgen; Ngô Viêt Trung 68 1992 Monomial ideals whose powers have a linear resolution. Zbl 1091.13013Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 66 2004 Squarefree lexsegment ideals. Zbl 0914.13007Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 64 1998 Discrete polymatroids. Zbl 1012.05046Herzog, Jürgen; Hibi, Takayuki 62 2002 On the Betti numbers of finite pure and linear resolutions. Zbl 0543.13008Herzog, J.; Kühl, M. 56 1984 Cohen-Macaulay binomial edge ideals. Zbl 1236.13011Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 53 2011 Maximally generated Cohen-Macaulay modules. Zbl 0653.13015Brennan, Joseph P.; Herzog, Jürgen; Ulrich, Bernd 53 1987 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 52 1978 Approximation complexes of blowing-up rings. II. Zbl 0515.13018Herzog, J.; Simis, A.; Vasconcelos, W. V. 51 1983 Gotzmann theorems for exterior algebras and combinatorics. Zbl 0897.13030Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 51 1997 Linear maximal Cohen-Macaulay modules over strict complete intersections. Zbl 0734.13007Herzog, J.; Ulrich, B.; Backelin, J. 50 1991 Gröbner bases in commutative algebra. Zbl 1242.13001Ene, Viviana; Herzog, Jürgen 47 2012 The stable set of associated prime ideals of a polymatroidal ideal. Zbl 1258.13014Herzog, Jürgen; Rauf, Asia; Vladoiu, Marius 47 2013 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014Avramov, Lacezar; Herzog, Jürgen 47 1980 Componentwise linear ideals and Golod rings. Zbl 0967.13018Herzog, J.; Reiner, V.; Welker, V. 46 1999 Dirac’s theorem on chordal graphs and Alexander duality. Zbl 1062.05075Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 46 2004 Die Wertehalbgruppe eines lokalen Rings der Dimension 1. Zbl 0212.06102Herzog, J.; Kunz, Ernst 45 1971 Bounds for multiplicities. Zbl 0899.13026Herzog, Jürgen; Srinivasan, Hema 45 1998 Cohen–Macaulay chordal graphs. Zbl 1172.13307Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian 44 2006 Ideals with sliding depth. Zbl 0561.13014Herzog, J.; Vasconcelos, W. V.; Villarreal, R. 44 1985 The classification of homogeneous Cohen-Macaulay rings of finite representation type. Zbl 0616.13011Eisenbud, D.; Herzog, J. 44 1988 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 44 2000 Binomial ideals. Zbl 1403.13004Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 44 2018 Combinatorial pure subrings. Zbl 1096.13525Ohsugi, Hidefumi; Herzog, Jürgen; Hibi, Takayuki 43 2000 Koszul modules. Zbl 1106.13011Herzog, Jürgen; Iyengar, Srikanth 43 2005 SAGBI bases with applications to blow-up algebras. Zbl 0866.13010Conca, Aldo; Herzog, Jürgen; Valla, Giuseppe 43 1996 Finite filtrations of modules and shellable multicomplexes. Zbl 1107.13017Herzog, Jürgen; Popescu, Dorin 42 2006 On the radical of a monomial ideal. Zbl 1112.13003Herzog, J.; Takayama, Y.; Terai, N. 42 2005 Persistence and stability properties of powers of ideals. Zbl 1305.13005Herzog, Jürgen; Asloob Qureshi, Ayesha 42 2015 Ideals with stable Betti numbers. Zbl 0968.13008Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 39 2000 A survey on Stanley depth. Zbl 1310.13001Herzog, Jürgen 38 2013 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. 37 1987 Stanley decompositions and partitionable simplicial complexes. Zbl 1131.13020Herzog, Jürgen; Jahan, Ali Soleyman; Yassemi, Siamak 36 2008 Shifting operations and graded Betti numbers. Zbl 0980.13013Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 35 2000 Deformationen von Cohen-Macaulay Algebren. Zbl 0425.13005Herzog, J. 35 1980 The trace of the canonical module. Zbl 1428.13037Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 34 2019 On the arithmetic and homology of algebras of linear type. Zbl 0541.13005Herzog, J.; Simis, A.; Vasconcelos, W. V. 30 1984 Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian 29 2008 Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces. Zbl 0920.13003Conca, Aldo; Herzog, Jürgen; Ngô Viêt Trung; Valla, Giuseppe 29 1997 On multigraded resolutions. Zbl 0888.13004Bruns, Winfried; Herzog, Jürgen 29 1995 Almost regular sequences and Betti numbers. Zbl 1012.13008Aramova, Annetta; Herzog, Jürgen 28 2000 Semigroup rings and simplicial complexes. Zbl 0884.13006Bruns, Winfried; Herzog, Jürgen 28 1997 Monomial ideals and toric rings of Hibi type arising from a finite poset. Zbl 1262.05154Ene, Viviana; Herzog, Jürgen; Mohammadi, Fatemeh 28 2011 Strongly Koszul algebras. Zbl 1061.13008Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana 27 2000 Koszul cycles and Eliahou-Kervaire type resolutions. Zbl 0868.13014Aramova, Annetta; Herzog, Jürgen 27 1996 Certain complexes associated to a sequence and a matrix. Zbl 0278.13010Herzog, Jürgen 26 1974 A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring. Zbl 0316.13011Herzog, Jürgen; Waldi, Rolf 26 1975 Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul. Zbl 0372.13014Herzog, Jürgen 26 1978 Hilbert polynomials and powers of ideals. Zbl 1157.13013Herzog, Jürgen; Puthenpurakal, Tony J.; Verma, Jugal K. 25 2008 On the computation of a-invariants. Zbl 0783.13018Bruns, Winfried; Herzog, Jürgen 25 1992 Rigid resolutions and big Betti numbers. Zbl 1080.13008Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki 25 2004 The Koszul property in affine semigroup rings. Zbl 0937.20041Herzog, Jürgen; Reiner, Vic; Welker, Volkmar 24 1998 Sequentially Cohen-Macaulay modules and local cohomology. Zbl 1072.13504Herzog, Jürgen; Sbarra, Enrico 23 2002 Ringe der Charakteristik p und Frobeniusfunktoren. Zbl 0278.13006Herzog, Jürgen 23 1974 Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008Herzog, Jürgen; Hibi, Takayuki 23 2006 Duality and vanishing of generalized local cohomology. Zbl 1083.13006Herzog, Jürgen; Zamani, Naser 22 2003 Generic initial ideals and graded Betti numbers. Zbl 1034.13009Herzog, Jürgen 21 2001 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 20 2003 On the subadditivity problem for maximal shifts in free resolutions. Zbl 1359.13012Herzog, Jürgen; Srinivasan, Hema 19 2015 Hilbert functions and generic forms. Zbl 0908.13008Herzog, Jürgen; Popescu, Dorin 19 1998 When is a regular sequence super regular? Zbl 0431.13015Herzog, J. 19 1981 On the defining equations of the tangent cone of a numerical semigroup ring. Zbl 1333.13023Herzog, Jürgen; Stamate, Dumitru I. 18 2014 Syzygies and walks. Zbl 0938.16505Bruns, Winfried; Herzog, Jürgen; Vetter, Udo 18 1994 Letterplace and co-letterplace ideals of posets. Zbl 1356.13023Fløystad, Gunnar; Greve, Bjørn Møller; Herzog, Jürgen 17 2017 Ordinary and symbolic powers are Golod. Zbl 1305.13002Herzog, Jürgen; Huneke, Craig 17 2013 Asymptotic linear bounds for the Castelnuovo-Mumford regularity. Zbl 1012.13006Herzog, Jürgen; Lê Tuân Hoa; Ngô Viêt Trung 17 2002 Poincaré series of resolutions of surface singularities. Zbl 1076.14006Cutkosky, Steven Dale; Herzog, Jürgen; Reguera, Ana 17 2004 Self-linked curve singularities. Zbl 0708.14032Herzog, Jürgen; Ulrich, Bernd 17 1990 Ideals of fiber type and polymatroids. Zbl 1092.05012Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius 17 2005 Depth and regularity modulo a principal ideal. Zbl 1448.13028Caviglia, Giulio; Hà, Huy Tài; Herzog, Jürgen; Kummini, Manoj; Terai, Naoki; Trung, Ngo Viet 16 2019 On hyperplane sections of reduced irreducible varieties of low codimension. Zbl 0836.14031Herzog, Jürgen; Ngô Viêt Trung; Valla, Giuseppe 16 1994 On the divisor class group of Rees-algebras. Zbl 0562.13003Herzog, J.; Vasconcelos, W. V. 16 1985 Finite lattices and lexicographic Gröbner bases. Zbl 0969.13010Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki 15 2000 Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki 15 2014 The number of generators of the powers of an ideal. Zbl 1423.13105Herzog, Jürgen; Saem, Maryam Mohammadi; Zamani, Naser 14 2019 On the extremal Betti numbers of binomial edge ideals of block graphs. Zbl 1395.13010Herzog, Jürgen; Rinaldo, Giancarlo 14 2018 The possible extremal Betti numbers of a homogeneous ideal. Zbl 1291.13022Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo 14 2014 Ladder determinantal rings have rational singularities. Zbl 0908.13005Conca, Aldo; Herzog, Jürgen 14 1997 Asymptotic growth of algebras associated to powers of ideals. Zbl 1200.13010Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema 13 2010 Arithmetic of normal Rees algebras. Zbl 0754.13003Herzog, Jürgen; Simis, Aron; Vasconcelos, Wolmer V. 13 1991 One dimensional local rings of maximal and almost maximal length. Zbl 0773.13006Brown, William C.; Herzog, Jürgen 13 1992 Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki- sequences. Zbl 0641.13014Herzog, Jürgen; Kühl, Michael 13 1987 A generalization of the Taylor complex construction. Zbl 1121.13013Herzog, Jürgen 13 2007 Some homological properties of Borel type ideals. Zbl 1515.13011Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh; Zhu, Guangjun 2 2023 On the set of trace ideals of a Noetherian ring. Zbl 1514.13010Herzog, Jürgen; Rahimbeigi, Masoomeh 2 2023 The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one. Zbl 1506.13040Herzog, Jürgen; Kumashiro, Shinya; Stamate, Dumitru I. 1 2023 Matchings and squarefree powers of edge ideals. Zbl 1491.13029Erey, Nursel; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara 2 2022 Componentwise linear powers and the \(x\)-condition. Zbl 1516.13020Herzog, Jürgen; Hibi, Takayuki; Moradi, Somayeh 1 2022 The saturation number of \(\mathbf{c}\)-bounded stable monomial ideals and their powers. Zbl 1503.13011Abdolmaleki, Reza; Herzog, Jürgen; Zhu, Guangjun 1 2022 The edge ideal of a graph and its splitting graphs. Zbl 1492.13026Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh 1 2022 Restricted classes of Veronese type ideals and algebras. Zbl 1461.13010Dinu, Rodica; Herzog, Jürgen; Qureshi, Ayesha Asloob 5 2021 Canonical trace ideal and residue for numerical semigroup rings. Zbl 1494.13003Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 5 2021 Regularity and the Gorenstein property of \(L\)-convex polyominoes. Zbl 1460.05205Ene, Viviana; Herzog, Jürgen; Qureshi, Ayesha Asloob; Romeo, Francesco 4 2021 Homological shift ideals. Zbl 1462.13021Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh; Zhu, Guangjun 3 2021 Graded Bourbaki ideals of graded modules. Zbl 1483.13006Herzog, Jürgen; Kumashiro, Shinya; Stamate, Dumitru I. 3 2021 An upper bound for the regularity of powers of edge ideals. Zbl 1444.13011Herzog, Jürgen; Hibi, Takayuki 5 2020 On the symbolic powers of binomial edge ideals. Zbl 1456.05183Ene, Viviana; Herzog, Jürgen 3 2020 Sortable Freiman ideals. Zbl 1469.13027Herzog, J.; Zhu, G. 3 2020 Matching numbers and the regularity of the Rees algebra of an edge ideal. Zbl 1446.13018Herzog, Jürgen; Hibi, Takayuki 3 2020 Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs. Zbl 1460.13031Herzog, Jürgen; Khosh-Ahang, Fahimeh; Moradi, Somayeh; Rahimbeigi, Masoomeh 2 2020 Ulrich elements in normal simplicial affine semigroups. Zbl 1458.05268Herzog, Jürgen; Jafari, Raheleh; Stamate, Dumitru I. 2 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 The trace of the canonical module. Zbl 1428.13037Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I. 34 2019 Depth and regularity modulo a principal ideal. Zbl 1448.13028Caviglia, Giulio; Hà, Huy Tài; Herzog, Jürgen; Kummini, Manoj; Terai, Naoki; Trung, Ngo Viet 16 2019 The number of generators of the powers of an ideal. Zbl 1423.13105Herzog, Jürgen; Saem, Maryam Mohammadi; Zamani, Naser 14 2019 \(t\)-spread strongly stable monomial ideals. Zbl 1426.13004Ene, Viviana; Herzog, Jürgen; Qureshi, Ayesha Asloob 13 2019 Almost symmetric numerical semigroups. Zbl 1467.20072Herzog, Jürgen; Watanabe, Kei-ichi 11 2019 Freiman ideals. Zbl 1410.13007Herzog, Jürgen; Zhu, Guangjun 9 2019 Cohen-Macaulay criteria for projective monomial curves via Gröbner bases. Zbl 1433.13023Herzog, Jürgen; Stamate, Dumitru I. 7 2019 Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings. Zbl 1437.13040Herzog, Jürgen; Mohammadi, Fatemeh; Page, Janet 5 2019 The relevance of Freiman’s theorem for combinatorial commutative algebra. Zbl 1412.13025Herzog, Jürgen; Hibi, Takayuki; Zhu, Guangjun 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 associated prime ideals and the depth of powers of squarefree principal Borel ideals. Zbl 1418.13013Herzog, Jürgen; Lajmiri, Bahareh; Rahmati, Farhad 2 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 Binomial ideals. Zbl 1403.13004Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 44 2018 On the extremal Betti numbers of binomial edge ideals of block graphs. Zbl 1395.13010Herzog, Jürgen; Rinaldo, Giancarlo 14 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 7 2018 Koszul cycles and Golod rings. Zbl 1403.13005Herzog, Jürgen; Maleki, Rasoul Ahangari 5 2018 Stability properties of powers of ideals in regular local rings of small dimension. Zbl 1390.13007Herzog, Jürgen; Mafi, Amir 2 2018 Isotonian algebras. Zbl 1430.13042Bigdeli, Mina; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob; Shikama, Akihiro 2 2018 Toric rings, inseparability and rigidity. Zbl 1409.13035Bigdeli, Mina; Herzog, Jürgen; Lu, Dancheng 2 2018 Letterplace and co-letterplace ideals of posets. Zbl 1356.13023Fløystad, Gunnar; Greve, Bjørn Møller; Herzog, Jürgen 17 2017 The linear strand of determinantal facet ideals. Zbl 1370.16005Herzog, Jürgen; Kiani, Dariush; Madani, Sara Saeedi 6 2017 Simplicial orders and chordality. Zbl 1436.13028Bigdeli, Mina; Herzog, Jürgen; Yazdan Pour, Ali Akbar; Zaare-Nahandi, Rashid 6 2017 Betti diagrams with special shape. Zbl 1406.13020Bigdeli, Mina; Herzog, Jürgen 6 2017 Quadratic numerical semigroups and the Koszul property. Zbl 1390.13014Herzog, Jürgen; Stamate, Dumitru I. 3 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 6 2016 Bi-Cohen-Macaulay graphs. Zbl 1329.05316Herzog, Jürgen; Rahimi, Ahad 6 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 Persistence and stability properties of powers of ideals. Zbl 1305.13005Herzog, Jürgen; Asloob Qureshi, Ayesha 42 2015 On the subadditivity problem for maximal shifts in free resolutions. Zbl 1359.13012Herzog, Jürgen; Srinivasan, Hema 19 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 13 2015 Pseudo-Gorenstein and level Hibi rings. Zbl 1311.05215Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara 10 2015 Gröbner bases of balanced polyominoes. Zbl 1315.13043Herzog, Jürgen; Qureshi, Ayesha Asloob; Shikama, Akihiro 9 2015 Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021Herzog, Jürgen; Hibi, Takayuki 9 2015 Linearly related polyominoes. Zbl 1327.13038Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 8 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 5 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. 18 2014 Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki 15 2014 The possible extremal Betti numbers of a homogeneous ideal. Zbl 1291.13022Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo 14 2014 Expansions of monomial ideals and multigraded modules. Zbl 1327.13042Bayati, Shamila; Herzog, Jürgen 13 2014 The coordinate ring of a simple polyomino. Zbl 1326.05029Herzog, Jürgen; Saeedi Madani, Sara 7 2014 Monomial ideals with primary components given by powers of monomial prime ideals. Zbl 1307.13014Herzog, Jürgen; Vladoiu, Marius 6 2014 The binomial edge ideal of a pair of graphs. Zbl 1298.13020Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob 6 2014 Generalized mixed product ideals. Zbl 1303.13012Herzog, Jürgen; Moghimipor, Roya; Yassemi, Siamak 4 2014 Koszul binomial edge ideals. Zbl 1327.13043Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 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 47 2013 A survey on Stanley depth. Zbl 1310.13001Herzog, Jürgen 38 2013 Ordinary and symbolic powers are Golod. Zbl 1305.13002Herzog, Jürgen; Huneke, Craig 17 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 10 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 47 2012 Stanley depth and size of a monomial ideal. Zbl 1234.13013Herzog, Jürgen; Popescu, Dorin; Vladoiu, Marius 12 2012 Ideals generated by adjacent 2-minors. Zbl 1267.13046Herzog, Jürgen; Hibi, Takayuki 8 2012 On the stable set of associated prime ideals of a monomial ideal. Zbl 1255.13007Bayati, Shamila; Herzog, Jürgen; Rinaldo, Giancarlo 8 2012 Finite lattices and Gröbner bases. Zbl 1260.13033Herzog, Jürgen; Hibi, Takayuki 4 2012 Monomial ideals. Zbl 1206.13001Herzog, Jürgen; Hibi, Takayuki 371 2011 Cohen-Macaulay binomial edge ideals. Zbl 1236.13011Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki 53 2011 Monomial ideals and toric rings of Hibi type arising from a finite poset. Zbl 1262.05154Ene, Viviana; Herzog, Jürgen; Mohammadi, Fatemeh 28 2011 Powers of componentwise linear ideals. Zbl 1317.13009Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi 10 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 96 2010 Asymptotic growth of algebras associated to powers of ideals. Zbl 1200.13010Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema 13 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 69 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 36 2008 Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian 29 2008 Hilbert polynomials and powers of ideals. Zbl 1157.13013Herzog, Jürgen; Puthenpurakal, Tony J.; Verma, Jugal K. 25 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 9 2008 Componentwise linear ideals with minimal or maximal Betti numbers. Zbl 1167.13009Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Takayama, Yukihide 5 2008 Duality and tameness. Zbl 1179.13011Chardin, Marc; Cutkosky, Steven Dale; Herzog, Jürgen; Srinivasan, Hema 4 2008 ...and 131 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,275 Authors 148 Herzog, Jürgen 98 Hibi, Takayuki 53 Goto, Shiro 47 Takahashi, Ryo 47 Yassemi, Siamak 46 Simis, Aron 46 Ulrich, Bernd 45 Ngô Viêt Trung 44 Vasconcelos, Wolmer V. 39 Conca, Aldo 38 Hà, Huy Tài 38 Seyed Fakhari, Seyed Amin 37 Huneke, Craig L. 35 Terai, Naoki 35 Villarreal, Rafael Heraclio 34 Murai, Satoshi 33 Römer, Tim 32 Van Tuyl, Adam 30 Nagel, Uwe 29 Bruns, Winfried 28 Ene, Viviana 27 Eisenbud, David 27 García Sánchez, Pedro A. 27 Iyengar, Srikanth B. 27 Ohsugi, Hidefumi 27 Rosales, José Carlos 26 Kustin, Andrew R. 26 Puthenpurakal, Tony J. 25 Crupi, Marilena 24 Mirò-Roig, Rosa Maria 24 Mohammadi, Fatemeh 24 Yoshida, Ken-ichi 23 Srinivasan, Hema 23 Varbaro, Matteo 22 Popescu, Dorin 22 Welker, Volkmar 21 Chardin, Marc 21 Migliore, Juan Carlos 21 Peeva, Irena V. 21 Qureshi, Ayesha Asloob 21 Rinaldo, Giancarlo 21 Yanagawa, Kohji 20 Verma, Jugal Kishore 19 Moradi, Somayeh 19 Nguyen, Dang Hop 19 Shen, Yihuang 19 Zhu, Guangjun 18 Caviglia, Giulio 18 Dao, Hailong 18 Katthän, Lukas 18 Lê Tuâń Hoa 18 Nasernejad, Mehrdad 18 Sather-Wagstaff, Keri 18 Trung, Trân Nam 17 Celikbas, Olgur 17 De Negri, Emanuela 17 Fløystad, Gunnar 17 Madani, Sara Saeedi 17 Morey, Susan E. 17 Nguyen Cong Minh 17 Rossi, Maria Evelina 17 Strazzanti, Francesco 17 Tsuchiya, Akiyoshi 17 Wiegand, Roger Allen 16 Cutkosky, Steven Dale 16 Kumar, Arvind 16 Polini, Claudia 16 Pournaki, Mohammad Reza 15 D’Anna, Marco 15 Francisco, Christopher A. 15 Mafi, Amir 15 Matsuda, Kazunori 15 Seceleanu, Alexandra 15 Tang, Zhongming 15 Watanabe, Kei-ichi 15 Zanello, Fabrizio 14 Casnati, Gianfranco 14 Cid-Ruiz, Yairon 14 Jafari, Raheleh 14 Jayanthan, A. V. 14 Kumashiro, Shinya 14 McCullough, Jason 14 Rahmati, Farhad 14 Schenzel, Peter 14 Sengupta, Indranath 14 Stamate, Dumitru Ioan 13 Aghapournahr, Moharram 13 De Stefani, Alessandro 13 Hong, Jooyoun 13 Jorge Pérez, Victor Hugo 13 Juhnke-Kubitzke, Martina 13 Mukundan, Vivek 13 Sharifan, Leila 13 Utano, Rosanna 13 Valla, Giuseppe 12 Avramov, Luchezar L. 12 Endo, Naoki 12 Jahan, Ali Soleyman 12 Kimura, Kyouko 12 Kleppe, Jan Oddvar ...and 2,175 more Authors all top 5 Cited in 261 Serials 622 Journal of Algebra 334 Journal of Pure and Applied Algebra 295 Communications in Algebra 193 Proceedings of the American Mathematical Society 133 Transactions of the American Mathematical Society 102 Journal of Commutative Algebra 99 Journal of Algebraic Combinatorics 96 Advances in Mathematics 82 Journal of Algebra and its Applications 78 Mathematische Zeitschrift 69 Manuscripta Mathematica 55 Journal of Symbolic Computation 54 Journal of Combinatorial Theory. 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Serie Quarta 6 Duke Mathematical Journal 6 Glasgow Mathematical Journal 6 Journal of the Korean Mathematical Society 6 Bulletin des Sciences Mathématiques 6 International Electronic Journal of Algebra (IEJA) 6 European Journal of Mathematics 5 Indian Journal of Pure & Applied Mathematics 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Annals of the Institute of Statistical Mathematics 5 Journal of Number Theory 5 Le Matematiche 5 Monatshefte für Mathematik 5 Topology and its Applications 5 International Journal of Mathematics 5 Designs, Codes and Cryptography 5 Finite Fields and their Applications 5 Representation Theory 5 Annals of Mathematics. Second Series 5 Functional Analysis and Other Mathematics 5 The Journal of Software for Algebra and Geometry 5 Proceedings of the American Mathematical Society. Series B 4 Functional Analysis and its Applications 4 Journal of the Mathematical Society of Japan 4 Combinatorica ...and 161 more Serials all top 5 Cited in 49 Fields 3,084 Commutative algebra (13-XX) 1,087 Algebraic geometry (14-XX) 818 Combinatorics (05-XX) 254 Group theory and generalizations (20-XX) 248 Associative rings and algebras (16-XX) 154 Convex and discrete geometry (52-XX) 91 Number theory (11-XX) 87 Category theory; homological algebra (18-XX) 75 Order, lattices, ordered algebraic structures (06-XX) 74 Algebraic topology (55-XX) 73 Several complex variables and analytic spaces (32-XX) 67 Computer science (68-XX) 45 Manifolds and cell complexes (57-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 29 Nonassociative rings and algebras (17-XX) 24 Information and communication theory, circuits (94-XX) 20 \(K\)-theory (19-XX) 20 Statistics (62-XX) 15 Operations research, mathematical programming (90-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Field theory and polynomials (12-XX) 9 Differential geometry (53-XX) 9 Numerical analysis (65-XX) 8 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 8 Geometry (51-XX) 8 Probability theory and stochastic processes (60-XX) 7 Mathematical logic and foundations (03-XX) 7 Quantum theory (81-XX) 5 Partial differential equations (35-XX) 4 History and biography (01-XX) 4 General algebraic systems (08-XX) 4 Biology and other natural sciences (92-XX) 3 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-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 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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