The Brown Mccoy radical of semigroup rings of commutative cancellative semigroups
نویسندگان
چکیده
منابع مشابه
new semigroup compactifications via the enveloping semigroups of associated flows
this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.
15 صفحه اولCommutative cancellative semigroups of finite rank
The rank of a commutative cancellative semigroup S is the cardinality of a maximal independent subset of S. Commutative cancellative semigroups of finite rank are subarchimedean and thus admit a Tamura-like representation. We characterize these semigroups in several ways and provide structure theorems in terms of a construction akin to the one devised by T. Tamura for N-semigroups.
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Every cancellative Kleene semigroup satisfies Eilenberg's theorem. Résumé. — Si S est un semigroupe simplifiable de type Kleene, alors S satisfait le théorème d'Eilenberg.
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Munn [11] proved that the Jacobson radical of a commutative semigroup ring is nil provided that the radical of the coefficient ring is nil. This was generalized, for semigroup algebras satisfying polynomial identities, by Okniński [14] (cf. [15, Chapter 21]), and for semigroup rings of commutative semigroups with Noetherian rings of coefficients, by Jespers [4]. It would be interesting to obtai...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1985
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500005863