Abstract
SynopsisA new description is provided for the nil radical of the algebra RS of a commutative semigroup S over a commutative ring R with a 1. It is shown that the Jacobson radical of RS is nil if the Jacobson radical of R is nil and that the converse holds in the case where S is periodic.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. Nilpotent elements of commutative semigroup rings;Parker;Michigan Math. J.,1975
2. The Jacobson radical of commutative group rings
3. The l1-algebra of a commutative semigroup;Hewitt;Trans. Amer. Math. Soc.,1956
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