Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Eunsuk Yang (), Eun-Hwan Roh and Young-Bae Jun
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Eunsuk Yang: Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju 54896, Republic of Korea
Eun-Hwan Roh: Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Republic of Korea
Young-Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Republic of Korea

Mathematics, 2025, vol. 13, issue 3, 1-20

Abstract: Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.

Keywords: homomorphism; ordered kernel; (ordered) filter; (ordered) subalgebra; functional composition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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