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Third isomorphism theorem for (co-ordered) Gamma-semigroups with

International Mathematical Virtual Institute, 6, Kordunaska ˇ Street, 78000 Banja Luka, Bosnia and Herzegovina

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (4),
242-251.
https://doi.org/10.62072/acm.2020.030401
Received: 10 October 2020 |
Accepted: 1 December 2020 |
Published: 31 December 2020

Abstract

The notion of Γ-semigroups has been introduced by M. K. Sen and N. K. Saha. The concept of (co-ordered) Γ-semigroups with apartness in Bishop’s constructive algebra was introduced by this author. Many classical notions and processes of semigroups and Γ-semigroups have been extended to (co-ordered) Γ-semigroups with apartness such as ideals, filters and the first theorem of isomorphism of this class of algebraic structures. In this paper, as a continuation of earlier research, the author designs a form of the third isomorphism theorems for Γ-semigroups and co-ordered Γ-semigroups with apartness which does not have its counterpart in the classical Γ-semigroup theory.

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Third isomorphism theorem for (co-ordered) Gamma-semigroups with.

Annals of Communications in Mathematics,

2020,
3 (4):
242-251.
https://doi.org/10.62072/acm.2020.030401
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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