Semilattice Co-Congruence in $\Gamma$-Semigroups

Authors : Daniel A ROMANO

Pages : 1-7

View : 12 | Download : 11

Publication Date : 2020-06-29

Article Type : Research Paper

Abstract :As a generalization of semigroups, Sen, in 1981, introduced the concept of $\Gamma$-semigroups. In the author`s paper insert ignore into journalissuearticles values(D A. Romano. $\Gamma$-semigroups with apartness. \emph{Bull. Allahabad Math. Soc.}, 34insert ignore into journalissuearticles values(1);insert ignore into journalissuearticles values(2019);, 71--83.); it is introduced and analyzed the concept of $\Gamma$-semigroups with apartness in Bishop`s constructive framework. In this article, as a continuation of previous research, the concept of co-congruences in $\Gamma$-semigroups is introduced and analyzed. Additionally, it is investigated insert ignore into journalissuearticles values(co-ordered); semilattice co-congruence on insert ignore into journalissuearticles values(co-ordered); $\Gamma$-semigroup with apartness.
Keywords : Bishops constructive algebra, Intuitionistic logic, \Gamma semigroup with apartness, Ordered \Gamma semigroup under co order, Co congruence in \Gamma semigroup, Semillatice co congruence