Gorenstein dimension and proper actions

DOI10.1112/blms/bdp063zbMath1248.20054OpenAlexW2066014515MaRDI QIDQ3646374

Olympia Talelli, Fotini Dembegioti, Abdolnaser Bahlekeh

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1112/blms/bdp063

zbMATH Keywords

projective resolutionsintegral group ringshomological dimensionsGorenstein projective modulesGorenstein projective dimension

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) Projectives and injectives (category-theoretic aspects) (18G05) Homological dimension in associative algebras (16E10)

Related Items (23)

GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS ⋮ On the finiteness of Gorenstein homological dimensions ⋮ On the Gorenstein cohomological dimension of group extensions ⋮ ON ALGEBRAIC INVARIANTS FOR FREE ACTIONS ON HOMOTOPY SPHERES ⋮ Finiteness criteria in Gorenstein homological algebra ⋮ Gorenstein Injective and Injective Complete Cohomological Dimensions of Groups ⋮ Cohomological invariants and the classifying space for proper actions. ⋮ Projectively coresolved Gorenstein flat dimension of groups ⋮ New results related to a conjecture of Moore. ⋮ On certain homological invariants of groups. ⋮ Finiteness conditions in the stable module category. ⋮ Periodic flat resolutions and periodicity in group (co)homology ⋮ Gorenstein projective and injective dimensions over Frobenius extensions ⋮ On the Gorenstein and cohomological dimension of groups ⋮ On the Auslander-Reiten conjecture for algebras ⋮ A note on complete resolutions ⋮ On some cohomological invariants for large families of infinite groups ⋮ PROGRESS ON THE AUSLANDER–REITEN CONJECTURE ⋮ On the hierarchy of cohomological dimensions of groups ⋮ On the Gorenstein and 픉-cohomological dimensions ⋮ (STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS ⋮ The stable category and invertible modules for infinite groups ⋮ Virtual Gorensteinness over group algebras.

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