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Communications in Algebra Volume 39, 2011 - Issue 3
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Original Articles

Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness

Mohsen Asgharzadeh Department of Mathematics, Shahid Beheshti University, Tehran, Iranand School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
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Kamran Divaani-Aazar Department of Mathematics, Az-Zahra University, Vanak, Tehran, Iranand School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, IranCorrespondence[email protected]
Pages 1082-1103 | Received 18 Jun 2009, Published online: 16 Mar 2011

Citations (14)

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Read on this site (4)

E. Banisaeed, F. Rahmati, Kh. Ahmadi-Amoli & M. Eghbali. (2017) On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers. Communications in Algebra 45:12, pages 5137-5144.
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Shahram Rezaei. (2017) Some results on top local cohomology and top formal local cohomology modules. Communications in Algebra 45:5, pages 1935-1940.
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M. Eghbali & N. Shirmohammadi. (2017) On cohomological dimension and depth under linkage. Communications in Algebra 45:3, pages 1134-1140.
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Maryam Jahangiri. (2014) Castelnuovo–Mumford Regularity and Cohomological Dimension. Communications in Algebra 42:12, pages 5454-5463.
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Articles from other publishers (10)

Shahram Rezaei. (2022) Finiteness properties of formal local homology modules. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 64:2, pages 299-309.
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Tran Tuan Nam, Tran Le Quyen, Nguyen Hoang Huy Tu & Nguyen Minh Tri. (2021) Some results on formal local cohomology. Journal of Algebra and Its Applications 21:08.
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Pham Huu Khanh. (2018) A finite result for the set of associated prime ideals of formal local cohomology modules. Asian-European Journal of Mathematics 13:02, pages 2050046.
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Sh. Rezaei. (2020) General formal local cohomology modules. Algebra and Discrete Mathematics 30:2, pages 254-266.
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Nam Tuan Tran, Tu Hoang Huy Nguyen & Tri Minh Nguyen. (2018) Top formal local cohomology module. Periodica Mathematica Hungarica 79:1, pages 1-11.
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T. H. Freitas & V. H. Jorge Pérez. (2016) Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 58:2, pages 319-340.
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Shahram Rezaei. (2016) A Generalization of Formal Local Cohomology Modules. Kyungpook mathematical journal 56:3, pages 737-743.
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T.H. Freitas & V.H. Jorge Pérez. (2016) On formal local cohomology modules with respect to a pair of ideals. Journal of Commutative Algebra 8:3.
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Mohammad Hasan Bijan-Zadeh & Shahram Rezaei. (2014) Artinianness and Attached Primes of Formal Local Cohomology Modules. Algebra Colloquium 21:02, pages 307-316.
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Mohsen Asgharzadeh & Kamran Divaani-Aazar. (2014) A unified approach to formal local cohomology and local Tate cohomology. Rocky Mountain Journal of Mathematics 44:2.
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