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.
Original language | English |
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Pages (from-to) | 158-173 |
Number of pages | 16 |
Journal | Journal of Computational Analysis and Applications |
Volume | 32 |
Issue number | 1 |
State | Published - 2024 |
Keywords
- BCK-soft universe
- commutative makgeolli ideal
- makgeolli ideal
- makgeolli structure