Relative projectivity of representations of group-graded rings

DOI10.1007/BF01246768zbMath0742.16021MaRDI QIDQ1176773

Alfred Weiss, Gerald H. Cliff, Morton E. Harris

Publication date: 25 June 1992

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

zbMATH Keywords

Clifford theorycomposition factorsfinite groupinduced moduledirect sumdirect summandfully \(G\)-graded \(k\)-algebragroup- graded ringsrelatively \(R_ 1\)- projective

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) 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) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35)

Related Items (1)

Clifford theory for projective modules over strongly graded rings

Cites Work

• Clifford theory of simple modules
• The equivalence of various generalizations of group rings and modules
• Compounding Clifford's theory
• Twisted group algebras and their representations

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