A Characterization of Gorenstein Rings and Grothendieck's Conjecture

DOI10.1142/S1005386709000613zbMath1184.13052OpenAlexW2003346552WikidataQ123010932 ScholiaQ123010932MaRDI QIDQ3638723

Kazem Khashyarmanesh

Publication date: 28 October 2009

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/16/1604/S1005386709000613.html

zbMATH Keywords

local cohomology modulesGrothendieck's conjectureGorenstein ringssystem of parametersfilter regular sequences

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45)

Cites Work

• Cofinite modules and local cohomology
• Affine duality and cofiniteness
• PRINCIPAL SYSTEMS
• On the finiteness properties of extension and torsion functors of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• The Madison Symposium on Complex Analysis
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Filter regular sequences and the finiteness of local cohomology modules
• On the cofiniteness of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• Gorenstein rings and irreducible parameter ideals

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