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Some types of interior filters in quasi-ordered Gamma -semigroup

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

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Annals of Communications in Mathematics 2022
, 5 (1),
Received: 20 February 2022 |
Accepted: 10 May 2022 |
Published: 30 Jun 2022


In 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


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Some types of interior filters in quasi-ordered Gamma -semigroup.

Annals of Communications in Mathematics,

5 (1):
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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 (


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