A cubic set theory approach to UP-algebras. Issue 8 (16th November 2020)

• Record Type: Journal Article
• Authors: Taboon, Korawit; Butsri, Phatchara; Iampan, Aiyared
• Is Part Of: Journal of interdisciplinary mathematics. Volume 23:Issue 8(2020)
• Page Start: 1449
• Page End: 1486
• Publication Date: 2020-11-16
• Subjects: 03G25 -- 06D72; UP-algebra -- Cubic UP-subalgebra -- Cubic near UP-filter -- Cubic UP-filter -- Cubic UP-ideal -- Cubic strong UP-ideal; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2020.1744815
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: The concepts of cubic UP-subalgebras and cubic UP-ideals of UP-algebras were first introduced by Senapati et al. [Cubic set structure applied in UP-algebras, 2018]. In this paper, we first introduce the concepts of cubic near UP-filters, cubic UP-filters, and cubic strong UP-ideals of UP-algebras. Relationships between cubic UP-subalgebras (resp., cubic near UP-filters, cubic UP-filters, cubic UP-ideals, and cubic strong UP-ideals) and their level subsets of a cubic set in UP-algebra are discussed. Moreover, we introduce the concept of cubic sets of anti type in UP-algebras, and study the properties as well as previous concepts.