When is the Jacobson radical of a semigroup ring of a commutative semigroup homogeneous?
โ Scribed by Eric Jespers
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 730 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
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
By JAMES A. RATE and JOHN K . LUEDEMAN of Clemson (I7.S.A.) (Eingegangen am 22. 11. 1979) REES matrix semigroups &I= (S, ,I, -1, P) over a semigroup correspond loosely to the n X n matrix rings over it ring R. It is well known that &(R,)x .=(&(R)),,. Moreover, when S is it finite BRANDT semigroup, S
In studying the algebraic structure of semigroups, H. J. HOEHNKE in [I] and [a] has used respresentations of a semigroup S by transformations on a set to introduce a radical, rad S , as a certain congruence on S , and an associated ideal rado S of S , called the 0-radical of S. An internal characte