Independent UP-algebras

Volume 27, Issue 1, pp 65--76 http://dx.doi.org/10.22436/jmcs.027.01.06

Publication Date: February 12, 2022 Submission Date: November 03, 2021 Revision Date: November 16, 2021 Accteptance Date: January 19, 2022

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Authors

A. Iampan - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. P. Julatha - Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand. P. Khamrot - Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Phitsanulok, Phitsanulok 65000, Thailand. D. A. Romano - International Mathematical Virtual Institute, Kordunaska Street, 78000 Banja Luka, Bosnia and Herzegovina.

Abstract

In this paper, we introduce the concept of a new algebraic structure: independent UP-algebras (in short, IUP-algebras), which is independent of UP-algebras. We also introduce the concepts of IUP-subalgebras, IUP-filters, IUP-ideals, and strong IUP-ideals of IUP-algebras and investigate their properties and relationships. Finally, we discuss the concept of homomorphisms between IUP-algebras and also study the direct and inverse images of four special subsets.

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Keywords

• UP-algebra
• IUP-algebra
• IUP-subalgebra
• IUP-filter
• IUP-ideal
• strong IUP-ideal

MSC

•  06F35
•  03G25
•  94B05

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