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Homogeneity of the radical of semigroup-graded rings

✍ Scribed by Clase, M.V.; Kelarev, A.V.

Book ID
127278011
Publisher
Taylor and Francis Group
Year
1994
Tongue
English
Weight
665 KB
Volume
22
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

On the Jacobson Radical of Semigroup Gra
On the Jacobson Radical of Semigroup Graded Rings
✍ M.V. Clase; E. Jespers πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 861 KB

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

The Jacobson radical of commutative semi
The Jacobson radical of commutative semigroup rings
✍ A.V. Kelarev πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 422 KB

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