Commutative rings over which algebras generated by idempotents are quotients of group algebras

DOI10.1216/JCA-2015-7-3-373zbMath1333.13008MaRDI QIDQ901027

Nobuharu Onoda, Hideyasu Kawai

Publication date: 23 December 2015

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1450102161

zbMATH Keywords

idempotentgroup algebratorsion abelian group

Mathematics Subject Classification ID

Group rings (16S34) General commutative ring theory (13A99)

Cites Work

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• Commutative group algebras whose quotient rings by nilradicals are generated by idempotents.
• Over closed fields of prime characteristic, all algebras are quotients of group algebras
• 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
• The Units of Group-Rings

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