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Ordered Kernels of OBCI-Algebras in the Homomorphism Environmentopen access
- Authors
- Yang, Eunsuk; Roh, Eun-Hwan; Jun, Young-Bae
- Issue Date
- Feb-2025
- Publisher
- MDPI AG
- Keywords
- homomorphism; ordered kernel; (ordered) filter; (ordered) subalgebra; functional composition
- Citation
- Mathematics, v.13, no.3
- Indexed
- SCIE
SCOPUS
- Journal Title
- Mathematics
- Volume
- 13
- Number
- 3
- ISSN
- 2227-7390
2227-7390
- Abstract
- Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.
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