Lifting group representations to maximal Cohen-Macaulay representations

DOI10.1006/jabr.1996.6824zbMath0896.16008OpenAlexW2002848008MaRDI QIDQ1355499

Edgar E. Enochs, Overtoun M. G. Jenda, Jin Zhong Xu

Publication date: 3 August 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6824

zbMATH Keywords

group ringsGorenstein ringsCohen-Macaulay approximationsMatlis dualizing modulesTeichmüller invariants

Mathematics Subject Classification ID

Group rings (16S34) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Cohen-Macaulay modules in associative algebras (16G50) Homological dimension in associative algebras (16E10)

Related Items (6)

GRADED MATLIS DUALITY AND APPLICATIONS TO COVERS ⋮ Exact categories, big Cohen-Macaulay modules and finite representation type ⋮ Change of rings and singularity categories ⋮ Covers and Envelopes byV-Gorenstein Modules ⋮ Spectra of modules ⋮ The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization

Cites Work

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• On rings with finite self-injective dimension. II
• Injective and flat covers, envelopes and resolvents
• Preprojective modules over Artin algebras
• Cohomology of split group extensions. II
• Covers and envelopes over Gorenstein rings
• Gorenstein injective and projective modules
• Purity and algebraic compactness for modules
• On injective modules and flat modules
• The homological theory of maximal Cohen-Macaulay approximations

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