Commutative group algebras whose quotient rings by nilradicals are generated by idempotents.

DOI10.1216/RMJ-2011-41-1-229zbMath1214.16018MaRDI QIDQ627383

Hideyasu Kawai, Nobuharu Onoda

Publication date: 1 March 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

idempotentsAbelian groupsindecomposable ringsnil radicalcommutative group algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (2)

Commutative rings over which algebras generated by idempotents are quotients of group algebras ⋮ Isomorphism classes of commutative algebras generated by idempotents

Cites Work

• ALGEBRAS GENERATED BY IDEMPOTENTS AND COMMUTATIVE GROUP ALGEBRAS OVER A RING
• CONDITIONS FOR A PRODUCT OF RESIDUE-CLASS RINGS OF A RING TO BE GENERATED BY Ap-GROUP OF UNITS
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