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Ordered maps and kernels of OBCI-algebrasopen access
- Authors
- Yang, Eunsuk; Roh, Eun Hwan; Jun, Young Bae
- Issue Date
- Jul-2025
- Publisher
- Faculty of Mathematical Sciences | University of Guilan
- Keywords
- (ordered) BCI-algebra; (ordered) Filter; (ordered) Subalgebra; Kernel; Ordered map
- Citation
- Journal of Algebra and Related Topics, v.13, no.1, pp 135 - 157
- Pages
- 23
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebra and Related Topics
- Volume
- 13
- Number
- 1
- Start Page
- 135
- End Page
- 157
- ISSN
- 2345-3931
2382-9877
- Abstract
- Yang-Roh-Jun recently introduced the notion of ordered BCI-algebras as a gen-eralization of BCI-algebras. They further introduced the notions of homomorphisms of ordered BCI-algebras and studied associated properties. Here we generalize homomorphisms into ordered maps, i.e., order-preserving maps. More precisely, the notions of ordered maps and kernels of ordered BCI-algebras are first defined. Next, properties related to (ordered) subalgebras, (ordered) filters and direct products of ordered BCI-algebras are addressed.
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