INVERSE SEMIGROUPS AND SEMINEAR-RINGS-Reference-Cited by-同舟云学术

INVERSE SEMIGROUPS AND SEMINEAR-RINGS

Published:2009-10 Issue:05 Volume:08 Page:713-721
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

SAMMAN MOHAMMAD¹

Affiliation:

1. Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Box 411, Dhahran 31261, Saudi Arabia

Abstract

We investigate the relationship between inverse semigroups and a special class of seminear-rings. We show that when an inverse semigroup T generates a d.g. seminear-ring (S,T) then the representation of the seminear-ring (S,T) is faithful. Some other aspects of representation theory of seminear-rings are discussed in connection with the structure of the underlying semigroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949880900362X

Reference8 articles.

1. The representation of d. g. near-rings

2. Pitman Research Notes in Mathematics;Meldrum J. D. P.,1985

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