Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of monoids-Reference-Cited by-同舟云学术

Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of monoids

Published:2015-11-17 Issue:04 Volume:08 Page:1550075
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Oğuz Seda¹,Karpuz Eylem G.²

Affiliation:

1. Department of Secondary School Science and Mathematics Education, Education Faculty, Cumhuriyet University, 58140 Sivas, Turkey

2. Department of Mathematics, Kamil Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Yunus Emre Campus 70100, Karaman, Turkey

Abstract

In this paper, we determine necessary and sufficient conditions for Bruck–Reilly and generalized Bruck–Reilly ∗-extensions of monoids to be unit regular, completely regular and orthodox. In addition, we characterize the congruences on generalized Bruck–Reilly ∗-extension of a monoid.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557115500758

Reference13 articles.

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4. Mathematical Surveys;Clifford A. H.,1967

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