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On the occasional equality of the lower and Jacobson radicals in noetherian rings

✍ Scribed by Edward C. Ingraham


Book ID
112647907
Publisher
Springer
Year
1969
Tongue
English
Weight
181 KB
Volume
20
Category
Article
ISSN
0003-889X

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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