Gorenstein Projective Resolvents

DOI10.1080/00927872.2015.1065847zbMath1353.13027OpenAlexW2399311226MaRDI QIDQ2817202

Sinem Odabaşı, Edgar E. Enochs, Sergio Estrada, Alina C. Iacob

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1065847

zbMATH Keywords

Gorenstein ringTate homologyGorenstein projective modulesprecoverleft derived functorpre-envelope

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

• Existence of Gorenstein projective resolutions and Tate cohomology
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
• Balance with unbounded complexes
• RINGS WITHOUT A GORENSTEIN ANALOGUE OF THE GOVOROV-LAZARD THEOREM
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Cohomology theories based on Gorenstein injective modules
• The existence of Gorenstein flat covers
• Balance in Generalized Tate Cohomology
• Stable module theory
• Gorenstein projective dimension for complexes

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