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Semigroup Varieties and Semigroup Algebras

✍ Scribed by A. V. Kelarev


Book ID
120761054
Publisher
Springer
Year
1999
Tongue
English
Weight
427 KB
Volume
59
Category
Article
ISSN
0037-1912

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It is shown that a semigroup S is finitely generated whenever the semigroup w x algebra K S is right Noetherian and has finite Gelfand᎐Kirillov dimension or S is a Malcev nilpotent semigroup. If, furthermore, S is a submonoid of a finitely w x generated nilpotent-by-finite group G, then K S is right

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In "Semigroup Algebras," OkniΕ„ski posed the following question: characterize semigroup algebras that are hereditary. In this paper we describe the (prime contracted) semigroup algebras K S that are hereditary and Noetherian when S is either a Malcev nilpotent monoid, a cancellative monoid or a monoi