A new approach to semigroup theory I: soft union semigroups, ideals and bi-ideals

Aslıhan Sezgin

Abstract


In this paper, soft union semigroups, soft union left (right, two-sided) ideals and bi-ideals of semigroups are defined, their properties and interrelations are given and regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups are characterized in terms of these ideals. This paper is a new approach to classical semigroup theory via soft set theory.


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Published: 2016-11-17

How to Cite this Article:

Aslıhan Sezgin, A new approach to semigroup theory I: soft union semigroups, ideals and bi-ideals, Algebra Letters, Vol 2016 (2016), Article ID 3

Copyright © 2016 Aslıhan Sezgin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Algebra Letters

ISSN 2051-5502

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