Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Eunsuk Yang; Eun-Hwan Roh; Young-Bae Jun

doi:10.3390/math13030519

Mathematics (Feb 2025)

Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Eunsuk Yang,
Eun-Hwan Roh,
Young-Bae Jun

Affiliations

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

DOI: https://doi.org/10.3390/math13030519
Journal volume & issue: Vol. 13, no. 3
p. 519

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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