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Dokdo commutative ideals of BCK-algebrasDokdo commutative ideals of $BCK$-algebras
- Other Titles
- Dokdo commutative ideals of $BCK$-algebras
- Authors
- Jeong Gon Lee; Samy M. Mostafa; Kul Hur; Young Bae Jun
- Issue Date
- Feb-2022
- Publisher
- (주) 경문사
- Keywords
- Dokdo subalgebra; Dokdo ideal; Dokdo commutative ideal
- Citation
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.23, no.1, pp 69 - 80
- Pages
- 12
- Indexed
- KCI
- Journal Title
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
- Volume
- 23
- Number
- 1
- Start Page
- 69
- End Page
- 80
- ISSN
- 2093-9310
2287-6235
- Abstract
- The purpose of this paper is to study by applying Dokdo structure to commutative ideal in $BCK$-algebras. The notion of Dokdo commutative ideal is introduced, and their properties are investigated. The relationship between Dokdo ideal and Dokdo commutative ideal is discussed. Example to show that a Dokdo ideal may not be a Dokdo commutative ideal is provided, and then the conditions under which a Dokdo ideal can be a Dokdo commutative ideal are explored. Conditions for a Dokdo structure to be a Dokdo commutative ideal are provided, and characterizations of a Dokdo commutative ideal are displayed. Finally, the extension property for a Dokdo commutative ideal is established.
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