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FALL 2015 Commutative rings over which algebras generated by idempotents are quotients of group algebras
Hideyasu Kawai, Nobuharu Onoda
J. Commut. Algebra 7(3): 373-391 (FALL 2015). DOI: 10.1216/JCA-2015-7-3-373

Abstract

We study the relationship between algebras generated by idempotents over a commutative ring $R$ with identity and algebras that are quotient rings of group algebras $RG$ for torsion abelian groups $G$ without an element whose order is a zero-divisor in $R$. The main purpose is to seek conditions for $R$ to hold the equality between these two kinds of algebras.

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Hideyasu Kawai. Nobuharu Onoda. "Commutative rings over which algebras generated by idempotents are quotients of group algebras." J. Commut. Algebra 7 (3) 373 - 391, FALL 2015. https://doi.org/10.1216/JCA-2015-7-3-373

Information

Published: FALL 2015
First available in Project Euclid: 14 December 2015

zbMATH: 1333.13008
MathSciNet: MR3433988
Digital Object Identifier: 10.1216/JCA-2015-7-3-373

Subjects:
Primary: 13A99
Secondary: 16S34

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.7 • No. 3 • FALL 2015
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