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Dokdo commutative ideals of BCK-algebras
Dokdo commutative ideals of $BCK$-algebras
- Jeong Gon Lee;
- Samy M. Mostafa;
- Kul Hur;
- Young Bae Jun
초록
The purpose of this paper is to study by applying Dokdo structure to commutative ideal in -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.
키워드
Dokdo subalgebra; Dokdo ideal; Dokdo commutative ideal
- 제목
- Dokdo commutative ideals of BCK-algebras
- 제목 (타언어)
- Dokdo commutative ideals of $BCK$-algebras
- 저자
- Jeong Gon Lee; Samy M. Mostafa; Kul Hur; Young Bae Jun
- 발행일
- 2022-02
- 권
- 23
- 호
- 1
- 페이지
- 69 ~ 80