Group rings R[G] with 3-generated ideals when R is artinian

DOI10.1080/00927879608825637zbMath0849.16025OpenAlexW1982531191MaRDI QIDQ4874722

Marco Fontana, Souâd Ameziane Hassani, Salah-Eddine Kabbaj

Publication date: 3 November 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825637

zbMATH Keywords

group algebrasgroup ringsfinite Abelian groupsArtinian principal ideal ringsArtinian local rings3-generator property

Mathematics Subject Classification ID

Group rings (16S34) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (3)

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group ⋮ The dilworth number of group rings over an artin local ring

Cites Work

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• Local rings with bounded ideals
• Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
• On the number of generators of ideals in local rings
• Commutative rings with restricted minimum condition
• Group rings with n-generated ideals
• Commutative Semigroup Rings with Two-Generated Ideals

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