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Semigroup Algebras and Noetherian Maximal Orders

✍ Scribed by Eric Jespers; Jan Okniński

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
220 KB
Volume
238
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 intersecting S plays a crucial role, and therefore we reduce the problem to certain ''local'' monoids S , that is, monoids with only one minimal prime. However, we illustrate P

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