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Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Author

Listed:
  • 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)

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.

Suggested Citation

  • Eunsuk Yang & Eun-Hwan Roh & Young-Bae Jun, 2025. "Ordered Kernels of OBCI-Algebras in the Homomorphism Environment," Mathematics, MDPI, vol. 13(3), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:519-:d:1583373
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