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Weakly irreducible UP-filters of meet-commutative UP-algebras

Kordunaska ˇ Street, 78000 Banja Luka, Bosnia and Herzegovina

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (1),
10-16.
https://doi.org/10.62072/acm.2021.040102
Received: 1 January 2021 |
Accepted: 7 March 2021 |
Published: 31 March 2021

Abstract

The concept of meet-commutative UP-algebras was introduced in 2016 by Sawika et al. Muhiuddin et al. introduced in 2021 the concept of prime UP-filter (of the first kind) and irreducible UP-filter in meet-commutative UP-algebras. Also, it has been shown that any prime UP-filter in such algebras is irreducible. In this paper, we introduce the concept of weakly irreducible UP-filters in such algebras and show that the prime UPfilter is between this and the irreducible UP-filter. Also, we show the possibility that each irreducible UP-filter is a weakly irreducible UP-filter

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Weakly irreducible UP-filters of meet-commutative UP-algebras.

Annals of Communications in Mathematics,

2021,
4 (1):
10-16.
https://doi.org/10.62072/acm.2021.040102
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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 (https://creativecommons.org/licenses/by/4.0/).

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