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Radical Semigroup Rings and the Thue--Morse Semigroup

โœ Scribed by I.B. Kozhukhov


Book ID
111558370
Publisher
SP MAIK Nauka/Interperiodica
Year
2003
Tongue
English
Weight
156 KB
Volume
74
Category
Article
ISSN
0001-4346

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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

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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