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On the Jacobson radical of associative 2-graded rings

✍ Scribed by A. Suliński; J. F. Watters

Publisher
Akadmiai Kiad
Year
1984
Tongue
English
Weight
217 KB
Volume
43
Category
Article
ISSN
1588-2632

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We study the Jacobson radical of semigroup graded rings. We show that the Jacobson radical of a ring graded by a (locally) finite semigroup is (locally) nilpotent if the same is true of each homogeneous component corresponding to an idempotent semigroup element and that a ring graded by a finite sem

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In this paper we consider semiprimitive commutative semigroup rings and related matters. A ring is said to be semiprhnitive if the Jacobson radical of it is equal to zero. This property is one of the most important in the theory of semigroup rings, and there is a prolific literature pertaining to th