A class of contracted inverse semigroup rings

Author:

Munn W. D.

Abstract

SynopsisContracted inverse semigroup rings are studied subject to the restriction that the semilattices of the given inverse semigroups satisfy a certain finiteness condition, introduced in 1980 by Teply, Turman and Quesada. Results are obtained on semiprimitivity, primitivity, primeness, decomposition into a direct sum of ideals, and chain conditions on one-sided ideals.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference27 articles.

1. Semigroup algebras with identities;Zelmanov;Sibirskũ Mat. Zh.,1977

2. On perfect group rings

3. When is the Semigroup Ring Perfect?

4. Two examples of inverse semigroup algebras

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