New results related to a conjecture of Moore.

DOI10.1007/s00013-013-0490-7zbMath1278.16027OpenAlexW1963955798WikidataQ123200437 ScholiaQ123200437MaRDI QIDQ1945785

Shokrollah Salarian, Abdolnaser Bahlekeh

Publication date: 9 April 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0490-7

zbMATH Keywords

subgroups of finite indexflat modulesGorenstein injective modulesGorenstein projective modulesKropholler hierarchyMoore conjectureinjective left modulesinjectivity over group rings

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 methods in group theory (20J05)

Related Items (3)

The Auslander-Reiten Conjecture for Group Rings ⋮ (STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS ⋮ Virtual Gorensteinness over group algebras.

Cites Work

• Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore.
• Homological dimension and Farrel cohomology
• The homotopy category of flat modules, and Grothendieck duality
• On the hierarchy of cohomological dimensions of groups
• Projectivity and relative projectivity over group rings
• On groups of type \((FP)_\infty\)
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
• On a conjecture of Moore
• Relative homological algebra
• Profinite groups, profinite completions and a conjecture of Moore.
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• How To Make Ext Vanish
• Gorenstein dimension and proper actions
• Stable module theory
• Periodic flat modules, and flat modules for finite groups.

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