Isomorphism classes of commutative algebras generated by idempotents

DOI10.1142/S0219498821500080zbMath1472.13017OpenAlexW2983796337MaRDI QIDQ4988192

Hideyasu Kawai, Nobuharu Onoda, Kazuyo Inoue

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500080

zbMATH Keywords

isomorphism classalgebraprimitive idempotent

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Cites Work

• Commutative group algebras whose quotient rings by nilradicals are generated by idempotents.
• Minimally generated Boolean algebras
• Idempotent generated algebras and Boolean powers of commutative rings
• Invariants for commutative group algebras
• ALGEBRAS GENERATED BY IDEMPOTENTS AND COMMUTATIVE GROUP ALGEBRAS OVER A RING
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