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- Song, Seok-Zun;
- Kim, Hee Sik;
- Ahn, Sun Shin;
- Jun, Young Bae
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0초록
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.
키워드
- 제목
- Commutative ideals of BCK-algebras based on makgeolli structures
- 저자
- Song, Seok-Zun; Kim, Hee Sik; Ahn, Sun Shin; Jun, Young Bae
- 발행일
- 2024-01
- 유형
- Article
- 권
- 32
- 호
- 1
- 페이지
- 158 ~ 173