# zbMATH — the first resource for mathematics

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 Documents Indexed: 32 Publications since 1993, including 2 Books
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#### Co-Authors

 6 single-authored 14 Watanabe, Junzo 9 Geramita, Anthony Vito 9 Shin, Yong Su 8 Wachi, Akihito 2 Migliore, Juan Carlos 1 Maeno, Toshiaki 1 Morita, Hideaki 1 Nagel, Uwe 1 Numata, Yasuhide 1 Okuyama, Hiroshi 1 Sakaki, Sho
all top 5

#### Serials

 4 Illinois Journal of Mathematics 4 Journal of Algebra 3 Journal of Pure and Applied Algebra 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Journal of Mathematics. Tokushima University 1 Memoirs of the American Mathematical Society 1 RIMS Kokyuroku 1 Lecture Notes in Mathematics 1 Journal of Commutative Algebra

#### Fields

 31 Commutative algebra (13-XX) 12 Algebraic geometry (14-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 327 times in 188 Documents Cited by Year
The weak and strong Lefschetz properties for Artinian $$K$$-algebras. Zbl 1018.13001
Harima, Tadahito; Migliore, Juan C.; Nagel, Uwe; Watanabe, Junzo
2003
The Lefschetz properties. Zbl 1284.13001
Harima, Tadahito; Maeno, Toshiaki; Morita, Hideaki; Numata, Yasuhide; Wachi, Akihito; Watanabe, Junzo
2013
Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property. Zbl 0857.13013
1995
Extremal point sets and Gorenstein ideals. Zbl 0965.13011
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2000
Some examples of unimodal Gorenstein sequences. Zbl 0847.13003
1995
The Hilbert function of a level algebra. Zbl 1121.13019
Geramita, Anthony V.; Harima, Tadahito; Migliore, Juan C.; Shin, Yong Su
2007
An alternative to the Hilbert function for the ideal of a finite set of points in $$\mathbb P^n$$. Zbl 1095.13500
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
The finite free extension of Artinian $$K$$-algebras with the strong Lefschetz property. Zbl 1150.13305
2003
The strong Lefschetz property for Artinian algebras with non-standard grading. Zbl 1133.13021
2007
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras. Zbl 1135.13010
2008
Some special configurations of points in $$\mathbb P^n$$. Zbl 1042.14023
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2003
The central simple modules of Artinian Gorenstein algebras. Zbl 1125.13003
2007
A note on Artinian Gorenstein algebras of codimension three. Zbl 0931.13014
1999
Generic initial ideals, graded Betti numbers, and $$k$$-Lefschetz properties. Zbl 1187.13001
2009
Erratum to: “The finite free extension of Artinian $$K$$-algebras with the strong Lefschetz property”. Zbl 1167.13308
2004
The quadratic complete intersections associated with the action of the symmetric group. Zbl 1336.13009
Harima, Tadahito; Wachi, Akihito; Watanabe, Junzo
2015
Decompositions of the Hilbert function of a set of points in $${\mathbb P}^n$$. Zbl 0980.13010
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
Decompositions of the Hilbert function of a set of points in $$\mathbb P^n$$. Zbl 1006.14017
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
An alternative to the Hilbert function for the ideal of a finite set of points in $$\mathbb{P}^n$$. Zbl 0943.13012
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
1998
The weak Lefschetz property for $$\mathfrak{m}$$-full ideals and componentwise linear ideals. Zbl 1285.13026
2012
The EGH conjecture and the Sperner property of complete intersections. Zbl 1359.13027
Harima, Tadahito; Wachi, Akihito; Watanabe, Junzo
2017
The conductor of some special points in $$\mathbb{P}^2$$. Zbl 0988.14022
1994
Extremal point sets and Gorenstein ideals. Zbl 0943.13013
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
1998
Generic initial ideals of some monomial complete intersections in four variables. Zbl 1190.13001
Harima, Tadahito; Sakaki, Sho; Wachi, Akihito
2010
The EGH conjecture and the Sperner property of complete intersections. Zbl 1359.13027
Harima, Tadahito; Wachi, Akihito; Watanabe, Junzo
2017
The quadratic complete intersections associated with the action of the symmetric group. Zbl 1336.13009
Harima, Tadahito; Wachi, Akihito; Watanabe, Junzo
2015
The Lefschetz properties. Zbl 1284.13001
Harima, Tadahito; Maeno, Toshiaki; Morita, Hideaki; Numata, Yasuhide; Wachi, Akihito; Watanabe, Junzo
2013
The weak Lefschetz property for $$\mathfrak{m}$$-full ideals and componentwise linear ideals. Zbl 1285.13026
2012
Generic initial ideals of some monomial complete intersections in four variables. Zbl 1190.13001
Harima, Tadahito; Sakaki, Sho; Wachi, Akihito
2010
Generic initial ideals, graded Betti numbers, and $$k$$-Lefschetz properties. Zbl 1187.13001
2009
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras. Zbl 1135.13010
2008
The Hilbert function of a level algebra. Zbl 1121.13019
Geramita, Anthony V.; Harima, Tadahito; Migliore, Juan C.; Shin, Yong Su
2007
The strong Lefschetz property for Artinian algebras with non-standard grading. Zbl 1133.13021
2007
The central simple modules of Artinian Gorenstein algebras. Zbl 1125.13003
2007
Erratum to: “The finite free extension of Artinian $$K$$-algebras with the strong Lefschetz property”. Zbl 1167.13308
2004
The weak and strong Lefschetz properties for Artinian $$K$$-algebras. Zbl 1018.13001
Harima, Tadahito; Migliore, Juan C.; Nagel, Uwe; Watanabe, Junzo
2003
The finite free extension of Artinian $$K$$-algebras with the strong Lefschetz property. Zbl 1150.13305
2003
Some special configurations of points in $$\mathbb P^n$$. Zbl 1042.14023
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2003
An alternative to the Hilbert function for the ideal of a finite set of points in $$\mathbb P^n$$. Zbl 1095.13500
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
Decompositions of the Hilbert function of a set of points in $${\mathbb P}^n$$. Zbl 0980.13010
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
Decompositions of the Hilbert function of a set of points in $$\mathbb P^n$$. Zbl 1006.14017
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2001
Extremal point sets and Gorenstein ideals. Zbl 0965.13011
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
2000
A note on Artinian Gorenstein algebras of codimension three. Zbl 0931.13014
1999
An alternative to the Hilbert function for the ideal of a finite set of points in $$\mathbb{P}^n$$. Zbl 0943.13012
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
1998
Extremal point sets and Gorenstein ideals. Zbl 0943.13013
Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su
1998
Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property. Zbl 0857.13013
1995
Some examples of unimodal Gorenstein sequences. Zbl 0847.13003
1995
The conductor of some special points in $$\mathbb{P}^2$$. Zbl 0988.14022
1994
all top 5

#### Cited by 133 Authors

 24 Shin, Yong Su 23 Migliore, Juan Carlos 19 Watanabe, Junzo 17 Harima, Tadahito 17 Nagel, Uwe 17 Zanello, Fabrizio 16 Mirò-Roig, Rosa Maria 14 Iarrobino, Anthony A. 11 Wachi, Akihito 10 Geramita, Anthony Vito 8 Ahn, Jeaman 8 Zappalà, Giuseppe 7 Boij, Mats 6 Cook, David II 6 Khatami, Leila 6 Murai, Satoshi 6 Ragusa, Alfio 5 Dimca, Alexandru 5 Gondim, Rodrigo 5 Guardo, Elena 5 McDaniel, Chris 5 Van Tuyl, Adam 4 Juhnke-Kubitzke, Martina 4 Maeno, Toshiaki 4 Park, Jung Pil 4 Seceleanu, Alexandra 3 Cho, Younghyun 3 Favacchio, Giuseppe 3 Harbourne, Brian 3 Ilardi, Giovanna 3 Kim, Youngrock 3 Lundqvist, Samuel 3 Marques, Pedro Macias 3 Numata, Yasuhide 3 Sabourin, Sindi 2 Altafi, Nasrin 2 Boyle, Bernadette 2 Catalisano, Maria Virginia 2 Cioffi, Francesca 2 Cooper, Susan Marie 2 Fröberg, Ralf 2 Galetto, Federico 2 Kleppe, Jan Oddvar 2 Ko, Hyoung June 2 Kustin, Andrew R. 2 Marinari, Maria Grazia 2 Masuti, Shreedevi Kalyani 2 Mezzetti, Emilia 2 Nevo, Eran 2 Ramella, Luciana 2 Richert, Benjamin P. 2 Sabourin, Lousindi R. 2 Sawaske, Connor 2 Sticlaru, Gabriel 2 Trần Quang Hóa 1 Abe, Takuro 1 Alzati, Alberto 1 Babson, Eric K. 1 Basili, Roberta 1 Bazzotti, Laura 1 Beccari, Giannina 1 Bertone, Cristina 1 Bigatti, Anna Maria 1 Böhm, Janko 1 Braun, Benjamin 1 Brenner, Holger 1 Casnati, Gianfranco 1 Cerminara, Armando 1 Chen, Shujian 1 Chiantini, Luca 1 Colarte-Gómez, Liena 1 Contantinescu, Alexandru 1 Costa, Barbara 1 Davis, Robert Talton 1 de Bondt, Michiel 1 Derksen, Harm 1 Dodd, Christopher 1 El Khoury, Sabine 1 Failla, Gioia 1 Flores, Zachary 1 Gimigliano, Alessandro 1 Guida, Margherita 1 Hara, Masao 1 Kaid, Almar 1 Li, Jizhou 1 Lindsey, Melissa 1 Llamas, Aurora 1 Lorenzini, Anna 1 Marks, Andrew S. 1 Martínez-Bernal, José 1 Massaza, Carla 1 McCullough, Jason 1 Merino, Criel 1 Meyerson, Victor 1 Morita, Hideaki 1 Nasseh, Saeed 1 Nemati, Navid 1 Nicklasson, Lisa 1 Notari, Roberto 1 Novik, Isabella ...and 33 more Authors
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#### Cited in 47 Serials

 40 Journal of Algebra 33 Journal of Pure and Applied Algebra 20 Communications in Algebra 10 Proceedings of the American Mathematical Society 7 Collectanea Mathematica 7 Illinois Journal of Mathematics 6 Transactions of the American Mathematical Society 5 Archiv der Mathematik 5 Journal of Commutative Algebra 3 Advances in Mathematics 3 Journal of the Korean Mathematical Society 3 Rendiconti del Seminario Matematico della Università di Padova 3 Linear Algebra and its Applications 3 Journal of Algebraic Combinatorics 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Zeitschrift 2 Algebra Colloquium 1 Linear and Multilinear Algebra 1 Annales de l’Institut Fourier 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Publicacions Matemàtiques 1 Acta Mathematica Sinica. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 The Australasian Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Communications of the Korean Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Arnold Mathematical Journal 1 Algebraic Combinatorics
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#### Cited in 17 Fields

 175 Commutative algebra (13-XX) 76 Algebraic geometry (14-XX) 26 Combinatorics (05-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Convex and discrete geometry (52-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Group theory and generalizations (20-XX) 4 Associative rings and algebras (16-XX) 4 Geometry (51-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)