Clifford theory for projective modules over strongly graded rings

DOI10.1080/00927879508825471zbMath0847.16024OpenAlexW2133788044MaRDI QIDQ4852249

Andrei Marcus

Publication date: 30 September 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825471

zbMATH Keywords

crossed productsfinite groupsGrothendieck groupsprojective coversheadsfinitely generated left modulesgraded Jacobson radicalequivalences between Abelian categoriesmaximal graded left idealsstrongly \(G\)-graded rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) 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)

Cites Work

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• Extending group modules in a relatively prime case
• Group-graded rings and modules
• Relative projectivity of representations of group-graded rings
• Isomorphisms of Clifford extensions
• On Classical Clifford Theory
• Induced crossed products
• Strongly Graded Rings of Finite Groups
• Clifford theory for group-graded rings. II.
• Clifford theory for p-sections of finite groups