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.
| Original language | English |
|---|---|
| Pages (from-to) | 135-157 |
| Number of pages | 23 |
| Journal | Journal of Algebra and Related Topics |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2025.07 |
Keywords
- (ordered) BCI-algebra
- (ordered) Filter
- (ordered) Subalgebra
- Kernel
- Ordered map
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