Locally ample semigroup algebras-Reference-Cited by-同舟云学术

Locally ample semigroup algebras

Published:2014-12 Issue:04 Volume:07 Page:1450067
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Guo Xiaojiang¹,Shum K. P.²

Affiliation:

1. Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China

2. Institute of Mathematics, Yunnan University, Kunming, Yunnan 650091, P. R. China

Abstract

An idempotent-connected abundant semigroup S is a locally ample semigroup if for any idempotent e of S, the local submonoid eSe of S is an ample subsemigroup of S. Clearly, an ample semigroup is a locally ample semigroup. In this paper, it is proved that the semigroup algebra of a finite locally ample semigroup is isomorphic to the semigroup algebra of an associate primitive abundant semigroup. As an application of this result, we characterize Jacobson radicals of finite locally ample semigroup algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557114500673

Reference18 articles.

1. The Algebraic Theory of Semigroups, Volume I

2. Adequate Semigroups

3. Abundant Semigroups

4. A Note on Locally Inverse Semigroup Algebras

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