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Prime and irreducible UP-filters of meet-commutative UP-algebras

and

1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia2International Mathematical Virtual Institute, Kordunaska ˇ Street 6, 78000 Banja Luka, Bosnia and Herzegovina.3Department of Mathematics Education Gyeongsang National University, Jinju 52828, Korea.

* Corresponding Author: G. Muhiuddin. Email: chishtygm@gmail.com

Annals of Communications in Mathematics 2021, 4 (2), 106-113. https://doi.org/10.62072/acm.2021.040202

Received: 03 April 2021 |

Accepted: 30 June 2021 |

Published: 30 September 2021

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Abstract

In this article, we give a number of important properties of meet-commutative UP-algebras. In the class of these UP-algebras, we introduce and analyze the concepts of prime and irreducible UP-filters.

Keywords

irreducible UP-filter; meet-commutative UP-algebra; prime UP-filter; UP-algebra

Cite This Article

G. Muhiuddin, Daniel A. Romano, Young Bae Jun.

Prime and irreducible UP-filters of meet-commutative UP-algebras.

Annals of Communications in Mathematics

2021,

4 (2):

106-113.

https://doi.org/10.62072/acm.2021.040202

Copyright © 2021 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/).