On certain homological invariants of groups.

DOI10.1016/J.JALGEBRA.2011.03.018zbMath1241.20058OpenAlexW1988539316MaRDI QIDQ655385

Shokrollah Salarian, Javad Asadollahi, Abdolnaser Bahlekeh, Ali Hajizamani

Publication date: 4 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.018

zbMATH Keywords

projective modulesflat modulesintegral group ringsinjective moduleshomological dimensionsGorenstein flat dimensioncovering classesflat lengthsinjective lengths

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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 (8)

On Groups with Periodic Relative Cohomology ⋮ ON ALGEBRAIC INVARIANTS FOR FREE ACTIONS ON HOMOTOPY SPHERES ⋮ Gorenstein Injective and Injective Complete Cohomological Dimensions of Groups ⋮ A homological characterization of locally finite groups. ⋮ Unnamed Item ⋮ The homotopy category of cotorsion flat modules ⋮ (STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS ⋮ COTORSION DIMENSIONS OVER GROUP RINGS

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