On modules over group rings.

DOI10.1007/s10468-012-9388-5zbMath1307.16020OpenAlexW2005280423WikidataQ57787640 ScholiaQ57787640MaRDI QIDQ2015171

Tsiu-Kwen Lee, Yiqiang Zhou, Muhammet Tamer Koşan

Publication date: 23 June 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-012-9388-5

zbMATH Keywords

semisimple modulesregular modulesinjective modulesFP-injective modulesMaschke theoremmodules over group ringsvon Neumann regular group ringsgroup modulesright self-injective group rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

On principally small-injective rings ⋮ P-injective group rings ⋮ On group modules ⋮ On submodules of modules over group rings ⋮ Restricted minimum condition for group-rings and matrix extensions

Cites Work

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• A note on regular group rings
• A generalization of quasi-Frobenius rings
• Self-injective group algebras
• On Regular Group Rings
• Regular Modules
• On the Group Ring

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