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Hereditary Semigroup Algebras: Volume 229, Number 2 (2000), pages 532–546

✍ Scribed by Eric Jespers; Qiang Wang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 monoid extension of a finite non-null Rees matrix semigroup. Furthermore, for the class of monoids which have an ideal series with factors that are non-null Rees matrix semigroups, we obtain an upper bound for the global dimension of its contracted semigroup algebra.

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