Ordered homomorphisms and kernels of ordered BCI-algebras
Rings and Algebras
2023-07-24 v1
Abstract
Recently Yang-Roh-Jun introduced the notion of ordered BCI-algebras as a generalization of BCI-algebras. They also introduced the notions of homomorphisms and kernels of ordered BCI-algebras and investigated related properties. Here we extend their investigation to ordered homomorphisms, i.e., order-preserving homomorphisms. To this end, the notions of ordered homomorphism and kernel of ordered BCI-algebras are first defined. Next, properties associated with (ordered) subalgebras, (ordered) filters and direct products of ordered BCI-algebras are addressed.
Keywords
Cite
@article{arxiv.2307.11362,
title = {Ordered homomorphisms and kernels of ordered BCI-algebras},
author = {Eunsuk Yang and Eun Hwan Roh and Young Bae Jun},
journal= {arXiv preprint arXiv:2307.11362},
year = {2023}
}