THE FIRST ISOMORPHISM THEOREM FOR (CO-ORDERED) $Gamma$-SEMIGROUPS WITH APARTNESS

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of Universal Mathematics
Volume:6 Issue:2
THE FIRST ISOMORPHISM THEOREM FOR (CO-ORDERED) $Gamma$-SEMIGROUPS WITH APARTNESS

THE FIRST ISOMORPHISM THEOREM FOR (CO-ORDERED) $Gamma$-SEMIGROUPS WITH APARTNESS

Pages : 239-253

View : 73 | Download : 42

Publication Date : 2023-07-31

Article Type : Research Paper

Abstract :The notion of $\\Gamma$-semigroups has been introduced by Sen and Saha in 1986. This author introduced the concept of $\\Gamma$-semigroups with apartness and analyzed their properties within the Bishop\`s constructive orientation. Many classical notions and processes of semigroups and $\\Gamma$-semigroups have been extended to $\\Gamma$-semigroups with apartness. Co-ordered $\\Gamma$-semigroups with apartness have been studied by the author also. In this paper, as a continuation of previous research, the author investigates the specificity of two forms of the first isomorphism theorem for insert ignore into journalissuearticles values(co-ordered); $\\Gamma$-semigroups with apartness which one of them has no a counterpart in the Classical case. In addition, specific techniques used in proofs within algebraic Bishop\`s constructive orientation are exposed.
Keywords : Bishop, Intuitionistic logic, Gamma semigroup with apartness, ordered Gamma semigroup under co order, co congruence in Gamma semigroup, the isomorphism theorem

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.