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Commutative ideals of BCK-algebras based on makgeolli structures
- Issue Date
- Jan-2024
- Publisher
- Kluwer Academic Publishers
- Keywords
- BCK-soft universe; commutative makgeolli ideal; makgeolli ideal; makgeolli structure
- Citation
- Journal of Computational Analysis and Applications, v.32, no.1, pp 158 - 173
- Pages
- 16
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 32
- Number
- 1
- Start Page
- 158
- End Page
- 173
- ISSN
- 1521-1398
1572-9206
- Abstract
- The purpose of this paper is to study by applying the makgeolli structure to commutative ideal in BCK-algebras. The notion of commutative makgeolli ideal is introduced, and their properties are investigated. The relationship between makgeolli ideal and commutative makgeolli ideal is discussed. Example to show that a makgeolli ideal may not be a commutative makgeolli ideal is provided, and then the conditions under which a makgeolli ideal can be a commutative makgeolli ideal are explored. A new commutative makgeolli ideal is established using the given commutative makgeolli ideal, and characterizations of a commutative makgeolli ideal are displayed. Finally, the extension property for a commutative makgeolli ideal is established. © 2024 EUDOXUS PRESS, LLC.
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