Co-filters in Γ-semigroups ordered under co-order

Abstract

As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ -semigroups. In our paper (D. A. Romano, Γ -semigroups with apartness. Bull. Allahabad Math. Soc., 34 (2019), no. 1, 71-83), we introduced and analyzed the concept of Γ-semigroups with apartness in the Bishop’s constructive framework. In this paper, as a continuation of the previous one, we introduce and analyze the concept of Γ -semigroups ordered under co-order. In addition, we introduce and analyze the concept of co-filters in such Γ -semigroups.