A Criterion for Projective Modules

DOI10.1080/00927870601169259zbMath1131.16014OpenAlexW2041162650MaRDI QIDQ3446655

Jang Hyun Jo

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601169259

zbMATH Keywords

group ringscomplete cohomologystably flat modulescofibrant 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) Projectives and injectives (category-theoretic aspects) (18G05) Homological dimension (category-theoretic aspects) (18G20)

Related Items (1)

Injective generation of derived categories and other applications of cohomological invariants of infinite groups

Cites Work

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• On groups with \(\text{cd}_ \mathbb{Q} G \leq 1\)
• Modules over finite groups
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• Products in negative cohomology
• Projectivity and relative projectivity over group rings
• Endo-permutation modules over p-groups. II
• Modules possessing projective resolutions of finite type
• On groups of type \((FP)_\infty\)
• Tate cohomology for arbitrary groups via satellites
• Complexity and varieties for infinite groups. I
• Flat and stably flat modules
• Accessibility and Groups of Cohomological Dimension One
• Homological Finiteness Conditions for Modules Over Group Algebras
• Complexity and varieties for infinitely generated modules, II
• Periodic flat modules, and flat modules for finite groups.

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