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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Semigroup rings and semilattice sums of rings


Author: Julian Weissglass
Journal: Proc. Amer. Math. Soc. 39 (1973), 471-478
MSC: Primary 20M25
MathSciNet review: 0322092
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Abstract: A generalization of the concept of a decomposition of a ring into a direct sum of ideals is introduced. The question of semisimplicity of the ring in terms of the semisimplicity of its summands is investigated. The results are applied to semigroup rings.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0322092-4
PII: S 0002-9939(1973)0322092-4
Article copyright: © Copyright 1973 American Mathematical Society