Modules with minimax Cousin cohomologies

DOI10.12958/adm528zbMath1473.13011OpenAlexW3121049211MaRDI QIDQ5158940

Alireza Vahidi

Publication date: 26 October 2021

Published in: Algebra and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12958/adm528

zbMATH Keywords

local cohomology modulesBass numbersArtinian modulesminimax modulesCousin complexes

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

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• Modules with finite Cousin cohomologies have uniform local cohomological annihilators
• Minimax-Moduln. (Minimax modules)
• The structure of dualizing complex for a ring which is \((S_2)\)
• A generalization of the dualizing complex structure and its applications
• The Cousin complex for a module over a commutative Noetherian ring
• Gorenstein modules
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the cofiniteness of local cohomology modules
• A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES
• Finiteness of cousin cohomologies
• Cousin Complex Characterizations of Two Classes of Commutative Noetherian Rings

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