×

zbMATH — the first resource for mathematics

Katzman, Mordechai

Compute Distance To:
Author ID: katzman.mordechai Recent zbMATH articles by "Katzman, Mordechai"
Published as: Katzman, Mordechai
External Links: ORCID
Documents Indexed: 37 Publications since 1996

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 311 times in 240 Documents Cited by Year
Characteristic-independence of Betti numbers of graph ideals. Zbl 1102.13024
Katzman, Mordechai
61
2006
An example of an infinite set of associated primes of a local cohomology module. Zbl 1083.13505
Katzman, Mordechai
55
2002
Parameter-test-ideals of Cohen-Macaulay rings. Zbl 1152.13005
Katzman, Mordechai
25
2008
Uniform behaviour of the Frobenius closures of ideals generated by regular sequences. Zbl 1117.13006
Katzman, Mordechai; Sharp, Rodney Y.
15
2006
Rings of Frobenius operators. Zbl 1332.13005
Katzman, Mordechai; Schwede, Karl; Singh, Anurag K.; Zhang, Wenliang
14
2014
On the discreteness and rationality of \(F\)-jumping coefficients. Zbl 1186.13003
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
14
2009
A non-finitely generated algebra of Frobenius maps. Zbl 1192.13004
Katzman, Mordechai
13
2010
Associated primes of graded components of local cohomology modules. Zbl 1013.13009
Brodmann, Markus P.; Katzman, Mordechai; Sharp, Rodney Y.
12
2002
Bipartite graphs whose edge algebras are complete intersections. Zbl 0943.13007
Katzman, Mordechai
11
1999
The Hilbert series of algebras of the Veronese type. Zbl 1107.13003
Katzman, Mordechai
9
2005
Some properties of top graded local cohomology modules. Zbl 1044.13008
Katzman, Mordechai; Sharp, Rodney Y.
9
2003
The complexity of Frobenius powers of ideals. Zbl 0919.13007
Katzman, Mordechai
8
1998
Frobenius maps on injective hulls and their applications to tight closure. Zbl 1197.13006
Katzman, Mordechai
7
2010
Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings. Zbl 1116.13002
Huneke, Craig; Katzman, Mordechai; Sharp, Rodney Y.; Yao, Yongwei
7
2006
An algorithm for computing compatibly Frobenius split subvarieties. Zbl 1250.13004
Katzman, Mordechai; Schwede, Karl
6
2012
Finiteness of \(\bigcup_ e \text{Ass}F^ e(M)\) and its connections to tight closure. Zbl 0852.13003
Katzman, Mordechai
6
1996
An extension of a theorem of Hartshorne. Zbl 1419.13032
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
5
2016
Castelnuovo-Mumford regularity and the discreteness of \(F\)-jumping coefficients in graded rings. Zbl 1296.13004
Katzman, Mordechai; Zhang, Wenliang
5
2014
Annihilators of Artinian modules compatible with a Frobenius map. Zbl 1291.13010
Katzman, Mordechai; Zhang, Wenliang
4
2014
Weak F-regularity deforms in \(\mathbb{Q}\)-Gorenstein rings. Zbl 0915.13003
Aberbach, Ian; Katzman, Mordechai; MacCrimmon, Brian
4
1998
The support of top graded local cohomology modules. Zbl 1097.13022
Katzman, Mordechai
3
2006
The TestIdeals package for Macaulay2. Zbl 1442.13001
Boix, Alberto F.; Hernández, Daniel; Kadyrsizova, Zhibek; Katzman, Mordechai; Malec, Sara; Robinson, Marcus; Schwede, Karl; Smolkin, Daniel; Teixeira, Pedro; Witt, Emily
2
2019
\(D\)-module and \(F\)-module length of local cohomology modules. Zbl 1440.13077
Katzman, Mordechai; Ma, Linquan; Smirnov, Ilya; Zhang, Wenliang
2
2018
An algorithm for producing F-pure ideals. Zbl 1339.13005
Boix, Alberto F.; Katzman, Mordechai
2
2014
An upper bound on the number of \(F\)-jumping coefficients of a principal ideal. Zbl 1230.13007
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
2
2011
On ideals of minors of matrices with indeterminate entries. Zbl 1135.13005
Katzman, Mordechai
2
2008
On the arithmetic of tight closure. Zbl 1096.13005
Brenner, Holger; Katzman, Mordechai
2
2006
Finite criteria for weak \(F\)-regularity. Zbl 0855.13003
Katzman, Mordechai
2
1996
Multiplicity bounds in prime characteristic. Zbl 1440.13107
Katzman, Mordechai; Zhang, Wenliang
1
2019
The support of local cohomology modules. Zbl 07102055
Katzman, Mordechai; Zhang, Wenliang
1
2018
Some properties and applications of \(F\)-finite \(F\)-modules. Zbl 1237.13015
Katzman, Mordechai
1
2011
Counting monomials. Zbl 1111.13021
Katzman, Mordechai
1
2005
The TestIdeals package for Macaulay2. Zbl 1442.13001
Boix, Alberto F.; Hernández, Daniel; Kadyrsizova, Zhibek; Katzman, Mordechai; Malec, Sara; Robinson, Marcus; Schwede, Karl; Smolkin, Daniel; Teixeira, Pedro; Witt, Emily
2
2019
Multiplicity bounds in prime characteristic. Zbl 1440.13107
Katzman, Mordechai; Zhang, Wenliang
1
2019
\(D\)-module and \(F\)-module length of local cohomology modules. Zbl 1440.13077
Katzman, Mordechai; Ma, Linquan; Smirnov, Ilya; Zhang, Wenliang
2
2018
The support of local cohomology modules. Zbl 07102055
Katzman, Mordechai; Zhang, Wenliang
1
2018
An extension of a theorem of Hartshorne. Zbl 1419.13032
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
5
2016
Rings of Frobenius operators. Zbl 1332.13005
Katzman, Mordechai; Schwede, Karl; Singh, Anurag K.; Zhang, Wenliang
14
2014
Castelnuovo-Mumford regularity and the discreteness of \(F\)-jumping coefficients in graded rings. Zbl 1296.13004
Katzman, Mordechai; Zhang, Wenliang
5
2014
Annihilators of Artinian modules compatible with a Frobenius map. Zbl 1291.13010
Katzman, Mordechai; Zhang, Wenliang
4
2014
An algorithm for producing F-pure ideals. Zbl 1339.13005
Boix, Alberto F.; Katzman, Mordechai
2
2014
An algorithm for computing compatibly Frobenius split subvarieties. Zbl 1250.13004
Katzman, Mordechai; Schwede, Karl
6
2012
An upper bound on the number of \(F\)-jumping coefficients of a principal ideal. Zbl 1230.13007
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
2
2011
Some properties and applications of \(F\)-finite \(F\)-modules. Zbl 1237.13015
Katzman, Mordechai
1
2011
A non-finitely generated algebra of Frobenius maps. Zbl 1192.13004
Katzman, Mordechai
13
2010
Frobenius maps on injective hulls and their applications to tight closure. Zbl 1197.13006
Katzman, Mordechai
7
2010
On the discreteness and rationality of \(F\)-jumping coefficients. Zbl 1186.13003
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
14
2009
Parameter-test-ideals of Cohen-Macaulay rings. Zbl 1152.13005
Katzman, Mordechai
25
2008
On ideals of minors of matrices with indeterminate entries. Zbl 1135.13005
Katzman, Mordechai
2
2008
Characteristic-independence of Betti numbers of graph ideals. Zbl 1102.13024
Katzman, Mordechai
61
2006
Uniform behaviour of the Frobenius closures of ideals generated by regular sequences. Zbl 1117.13006
Katzman, Mordechai; Sharp, Rodney Y.
15
2006
Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings. Zbl 1116.13002
Huneke, Craig; Katzman, Mordechai; Sharp, Rodney Y.; Yao, Yongwei
7
2006
The support of top graded local cohomology modules. Zbl 1097.13022
Katzman, Mordechai
3
2006
On the arithmetic of tight closure. Zbl 1096.13005
Brenner, Holger; Katzman, Mordechai
2
2006
The Hilbert series of algebras of the Veronese type. Zbl 1107.13003
Katzman, Mordechai
9
2005
Counting monomials. Zbl 1111.13021
Katzman, Mordechai
1
2005
Some properties of top graded local cohomology modules. Zbl 1044.13008
Katzman, Mordechai; Sharp, Rodney Y.
9
2003
An example of an infinite set of associated primes of a local cohomology module. Zbl 1083.13505
Katzman, Mordechai
55
2002
Associated primes of graded components of local cohomology modules. Zbl 1013.13009
Brodmann, Markus P.; Katzman, Mordechai; Sharp, Rodney Y.
12
2002
Bipartite graphs whose edge algebras are complete intersections. Zbl 0943.13007
Katzman, Mordechai
11
1999
The complexity of Frobenius powers of ideals. Zbl 0919.13007
Katzman, Mordechai
8
1998
Weak F-regularity deforms in \(\mathbb{Q}\)-Gorenstein rings. Zbl 0915.13003
Aberbach, Ian; Katzman, Mordechai; MacCrimmon, Brian
4
1998
Finiteness of \(\bigcup_ e \text{Ass}F^ e(M)\) and its connections to tight closure. Zbl 0852.13003
Katzman, Mordechai
6
1996
Finite criteria for weak \(F\)-regularity. Zbl 0855.13003
Katzman, Mordechai
2
1996
all top 5

Cited by 251 Authors

21 Katzman, Mordechai
12 Zhang, Wenliang
11 Schwede, Karl E.
10 Sharp, Rodney Y.
8 Pham Hung Quy
7 Enescu, Florian
7 Van Tuyl, Adam
6 Boix, Alberto Fernandez
6 Brodmann, Markus P.
6 Núñez-Betancourt, Luis
6 Singh, Anurag K.
6 Varbaro, Matteo
5 Bahmanpour, Kamal
5 Blickle, Manuel
5 Hà, Huy Tài
5 Hernández, Daniel J.
5 Khashyarmanesh, Kazem
5 Le Thanh Nhan
5 Lyubeznik, Gennady
5 Naghipour, Reza
5 Nguyen Tu Cuong
5 Reyes, Enrique
5 Seyed Fakhari, Seyed Amin
5 Villarreal, Rafael Heraclio
5 Yassemi, Siamak
4 Àlvarez Montaner, Josep
4 Gitler, Isidoro
4 Hibi, Takayuki
4 Huneke, Craig L.
4 Kimura, Kyouko
4 Mafi, Amir
4 Nguyen Van Hoang
4 Trung, Trân Nam
4 Witt, Emily E.
4 Yao, Yongwei
3 Abbasi, Ahmad
3 Brenner, Holger
3 Dao, Hailong
3 Francisco, Christopher A.
3 Lim, Chia S.
3 Mustaţă, Mircea
3 Neves, Jorge
3 Pérez, Felipe
3 Rather, Shahnawaz Ahmad
3 Saremi, Hero
3 Sazeedeh, Reza
3 Singh, Pavinder
3 Takagi, Shunsuke
3 Tucker, Kevin
3 Zarzuela, Santiago
2 Benedetti, Bruno
2 Beyarslan, Selvi Kara
2 Bhatt, Bhargav
2 Dalili, Kia
2 Dinh, Trung T.
2 Epstein, Neil
2 Faridi, Sara
2 Hara, Nobuo
2 Higashitani, Akihiro
2 Huong, Duong Thi
2 Ilioaea, Irina
2 Katsabekis, Anargyros
2 Khosh-Ahang, Fahimeh
2 Kiani, Dariush
2 Kummini, Manoj
2 Lê Tuâń Hoa
2 Marley, Thomas
2 Miller, Lance Edward
2 Miranda Neto, Cleto B.
2 Morales, Marcel
2 Mousivand, Amir
2 O’Keefe, Augustine B.
2 Puthenpurakal, Tony J.
2 Rohrer, Fred
2 Roshan-Shekalgourabi, Hajar
2 Rotthaus, Christel
2 Selvaraja, S.
2 Smirnov, Ilya
2 Solus, Liam T.
2 Stäbler, Axel
2 Tatakis, Christos
2 Teixeira, Pedro
2 Terai, Naoki
2 Thoma, Apostolos
2 Vaz Pinto, Maria
2 Vega, Juan Antonio
2 Walther, Uli
2 Watanabe, Kei-ichi
2 Yassi, M.
1 Aberbach, Ian M.
1 Adamaszek, Michal
1 Alhazmy, Khaled
1 Alilooee, Ali
1 Azami, Jafar
1 Barile, Margherita
1 Bell, Jordan
1 Bermejo, Isabel
1 Biermann, Jennifer
1 Bigdeli, Mina
1 Bíyíkoğlu, Türker
...and 151 more Authors
all top 5

Cited in 56 Serials

38 Journal of Algebra
30 Communications in Algebra
18 Journal of Pure and Applied Algebra
16 Proceedings of the American Mathematical Society
12 Journal of Algebra and its Applications
11 Journal of Algebraic Combinatorics
7 Transactions of the American Mathematical Society
7 Algebra Colloquium
6 Discrete Mathematics
6 Michigan Mathematical Journal
6 Journal of Commutative Algebra
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Combinatorial Theory. Series A
5 Journal of Symbolic Computation
3 Rocky Mountain Journal of Mathematics
3 Archiv der Mathematik
3 Collectanea Mathematica
3 Nagoya Mathematical Journal
3 Discrete & Computational Geometry
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Turkish Journal of Mathematics
2 Beiträge zur Algebra und Geometrie
2 Advances in Mathematics
2 Illinois Journal of Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Advances in Applied Mathematics
2 Forum Mathematicum
2 International Journal of Algebra and Computation
2 Journal of Algebraic Geometry
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Acta Mathematica Vietnamica
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Quaestiones Mathematicae
1 Journal of the American Mathematical Society
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 The Electronic Journal of Combinatorics
1 Séminaire Lotharingien de Combinatoire
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Journal of the Australian Mathematical Society
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Homotopy and Related Structures
1 The Journal of Software for Algebra and Geometry
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Cogent Mathematics
1 Algebraic Combinatorics

Citations by Year