Gorenstein Injective Resolutions, Cousin Complexes and Top Local Cohomology Modules

DOI10.1142/S100538670900011XzbMath1160.13009WikidataQ114072168 ScholiaQ114072168MaRDI QIDQ3607458

Kazem Khashyarmanesh

Publication date: 2 March 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S100538670900011X.html

zbMATH Keywords

local cohomology modulesGorenstein injective modulesCousin complexesGorenstein injective resolutions

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45)

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Local cohomology and the Cousin complex for a commutative Noetherian ring
• A representation theorem for complete local rings
• Maximal Cohen-Macaulay modules and representation theory
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Minimal injective and flat resolutions of modules over Gorenstein rings
• Gorenstein injective and projective modules
• The Cousin complex for a module over a commutative Noetherian ring
• 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
• Cousin complexes and generalized fractions
• Modules of generalized fractions
• A COUSIN COMPLEX CHARACTERIZATION OF BALANCED BIG COHEN-MACAULAY MODULES
• Gorenstein injective modules and local cohomology

This page was built for publication: Gorenstein Injective Resolutions, Cousin Complexes and Top Local Cohomology Modules