Prime kernel functors of group graded rings and smash products

DOI10.1080/00927878908823806zbMath0683.16001OpenAlexW2012967053MaRDI QIDQ4732563

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823806

zbMATH Keywords

prime idealscrossed productGabriel dimensiongroup graded ringprime torsion theories

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (2)

Prime kernel functors of hopf module algebras and their smash products ⋮ Primes and \(G\)-primes in \(\mathbb{Z}\)-nearalgebras

Cites Work

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• It's essentially Maschke's theorem
• Prime ideals in crossed products of finite groups
• The Gabriel dimension of a module
• Torsion theories and rings of quotients of Morita equivalent rings
• Addendum to “prine kernel functors in the skew group rings of finite groups”
• Gabriel dimension of finite normalizing extensions
• Prime kernel functors in the skew group rings of finite groups

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