Direct sum decompositions of infinitely generated modules

DOI10.1090/S0002-9947-99-02316-8zbMath0933.20005OpenAlexW1590139356WikidataQ105420510 ScholiaQ105420510MaRDI QIDQ4252956

Wayne W. Wheeler, David John Benson

Publication date: 23 June 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02316-8

zbMATH Keywords

finite groupsdirect sumscomplete intersectionscancellationindecomposable modulesKrull-Schmidt theoremmodular representationsinfinite-dimensional representationsinfinitely generated modules

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of associative Artinian rings (16G10)

Cites Work

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• On the indecomposable representations of a finite group
• Products in negative cohomology
• Complexity and quotient categories for group algebras
• Cohomology of modules in the principal block of a finite group
• Modules projectifs universels
• Pathological Modules over Tame Rings
• Complexity and varieties for infinitely generated modules, II
• Idempotent Modules in the Stable Category
• Complexity and varieties for infinitely generated modules
• Phantom maps and purity in modular representation theory. II

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