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The Jacobson radical of semigroup rings of commutative semigroups

โœ Scribed by E Jespers


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
816 KB
Volume
109
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


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โœ M.V. Clase; E. Jespers ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

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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