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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DOI:
http://dx.doi.org/10.1090/S0002-9939-1973-0322092-4

Article copyright:
© Copyright 1973
American Mathematical Society