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Various Types of Relative Annihilator Ideals in a BCK-Algebra
- Authors
- Bordbar, Hashem; Jun, Young Bae; Xin, Xiao Long
- Issue Date
- Nov-2025
- Publisher
- World Scientific Publishing Co.
- Keywords
- S-relative annihilator ideal; I-relative annihilator ideal; PI-relative annihilator ideal; c-relative annihilator ideal; Im-relative annihilator ideal
- Citation
- New Mathematics and Natural Computation
- Indexed
- SCOPUS
ESCI
- Journal Title
- New Mathematics and Natural Computation
- ISSN
- 1793-0057
- Abstract
- 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.
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