Ordered maps and kernels of OBCI-algebras

Document Type : Research Paper

Authors

1 Department of Philosophy, Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju, Korea

2 Department of Mathematics Education, Chinju National University of Education, Jinju, Korea

3 Department of Mathematics Education, Gyeongsang National University, Jinju, Korea

Abstract

Yang-Roh-Jun recently introduced the notion of ordered BCI-algebras as a generalization 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.

Keywords

References

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Journal of Algebra and Related Topics
Volume 13, Issue 1
July 2025
Pages 135-157

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