(STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS

DOI10.1017/S000497271300107XzbMath1306.20056MaRDI QIDQ5495459

Abdolnaser Bahlekeh

Publication date: 4 August 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group ringsGorenstein dimensionGorenstein projective modulesstrongly Gorenstein flat modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological methods in group theory (20J05) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Cites Work

• On certain homological invariants of groups.
• Strongly Gorenstein flat modules and dimensions.
• Homological dimension and Farrel cohomology
• Strongly Gorenstein projective, injective, and flat modules
• On the hierarchy of cohomological dimensions of groups
• On groups of type \((FP)_\infty\)
• Gorenstein homological dimensions.
• Flat modules over group rings of finite groups
• Gorenstein injective and projective modules
• New results related to a conjecture of Moore.
• Model structures on modules over Ding-Chen rings.
• On the vanishing of \(\lim_{(i)}\)
• A Note on Gorenstein Flat Dimension
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• STRONGLY GORENSTEIN FLAT MODULES
• Gorenstein dimension and proper actions

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