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Various Types of Relative Annihilator Ideals in a BCK-Algebra
- Bordbar, Hashem;
- Jun, Young Bae;
- Xin, Xiao Long
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0초록
In this paper, we introduce various types of relative annihilator ideals and explore the relationships between them. We establish the necessary conditions for a subset to qualify as an S-relative, I-relative, PI-relative, c-relative, or Im-relative annihilator ideal. Additionally, we demonstrate how an S-relative (respectively, I-relative, PI-relative, c-relative, or Im-relative) annihilator ideal can be constructed from a given subset or positive implicative ideal. Finally, we investigate the behavior of these annihilator ideals under homomorphisms, examining both their homomorphic images and preimages.
키워드
S-relative annihilator ideal; I-relative annihilator ideal; PI-relative annihilator ideal; c-relative annihilator ideal; Im-relative annihilator ideal; CLOSURE OPERATIONS
- 제목
- Various Types of Relative Annihilator Ideals in a BCK-Algebra
- 저자
- Bordbar, Hashem; Jun, Young Bae; Xin, Xiao Long
- 발행일
- 2025-11
- 유형
- Article; Early Access