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Semigroup algebras of linear semigroups

✍ Scribed by Jan Okniński; Mohan S Putcha

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
999 KB
Volume
151
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

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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," Okniński 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

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✍ Eric Jespers; Jan Okniński 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 220 KB

In this paper we describe when a monoid algebra K S is a noetherian PI domain which is a maximal order. Our work relies on the study of the height one w x primes of K S and of the minimal primes of the monoid S and leads to a characterization purely in terms of S. It turns out that the primes P inte