University of Guilan Journal of Algebra and Related Topics 2345-3931 13 1 2025 07 01 Ordered maps and kernels of OBCI-algebras 135 157 8439 10.22124/jart.2024.24864.1546 EN E. Yang Department of Philosophy, Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju, Korea E. H. Roh Department of Mathematics Education, Chinju National University of Education, Jinju, Korea Y. B. Jun Department of Mathematics Education, Gyeongsang National University, Jinju, Korea Journal Article 2023 07 01 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. https://jart.guilan.ac.ir/article_8439_ad11a956ab42beeea82573392e6ada43.pdf