quasi-interior filter in quasi-ordered Γ-semigroup
Open AccessArticle
Some types of interior filters in quasi-ordered Gamma -semigroup
Annals of Communications in Mathematics 2022
, 5 (1)
, 18-31
DOI: https://doi.org/10.62072/acm.2022.050102
AbstractIn this article, the concepts of interior, weak-interior and quasi-interior filters in a quasi-ordered Γ-semigroup are introduced and recognize some of their fundamental properties. In addition to the above, the relationships between these three classes of filters in quasi-ordered Γ-semigroups are considered. One of the specifics in this analysis, among others, is that the requirement that a filter in a quasi-ordered Γ-semigroup S has to be a sub-semigroup in S is omitted. Instead of this requirement in the determination of these three classes of filters the consistency requirement is incorporated