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Semigroup rings and semilattice sums of rings


Author: Julian Weissglass
Journal: Proc. Amer. Math. Soc. 39 (1973), 471-478
MSC: Primary 20M25
DOI: https://doi.org/10.1090/S0002-9939-1973-0322092-4
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.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1973-0322092-4
Article copyright: © Copyright 1973 American Mathematical Society

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