MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS-Reference-Cited by-同舟云学术

MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS

Published:2013-10-31 Issue:03 Volume:13 Page:1350108
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

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 adequate semigroup S is said to be ample if for any e2 = e, a ∈ S, ae = (ae)†a and ea = a(ea)*. It is well known that inverse semigroups are ample semigroups. The purpose of this paper is to study matrix representations of an ample semigroup. Some properties of ample semigroups are obtained. It is proved that any indecomposable good matrix representations of an ample semigroup can be constructed by using those of weak Brandt semigroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501089

Reference27 articles.

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