Semigroup Rings and Semilattice Sums of Rings
- 1 August 1973
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 39 (3) , 471-478
- https://doi.org/10.2307/2039577
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.Keywords
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