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A remark on the intersection of powers of the Jacobson radical

✍ Scribed by A. A. Tuganbaev

Publisher
Springer US
Year
2010
Tongue
English
Weight
86 KB
Volume
167
Category
Article
ISSN
1573-8795

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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