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Implicative strong filters in hyper quasi-ordered residuated systems

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

* Corresponding Author
Annals of Communications in Mathematics 2023
, 6 (2),
86-98.
https://doi.org/10.62072/acm.2023.060202
Received: 20 Mar 2023 |
Accepted: 25 April 2023 |
Published: 30 Jun 2023

Abstract

Quasi-ordered residuated systems as a generalization of both quasi-ordered commutative residuated lattices and hoop-algebras were developed in 2018 by Bonzio and Chajda. The ideas of the theory of hyper structures were applied to this algebraic structure by this author and, at the same time, developed the concepts of filters in a hyper quasi-ordered residuated system. In this paper, the conditions that determine the concept of implicative strong filters in it. Some equivalent conditions were found that also determine this concept.

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Cite This Article

Implicative strong filters in hyper quasi-ordered residuated systems.

Annals of Communications in Mathematics,

2023,
6 (2):
86-98.
https://doi.org/10.62072/acm.2023.060202
  • Creative Commons License
  • 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 (https://creativecommons.org/licenses/by/4.0/).

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