Ordered BCI-algebras, Y-kernels and (ordered) functions

Document Type : Research Paper

Authors

1 Department of Philosophy, Jeonbuk National University, Jeonju 54896, Korea

2 Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea

3 Department of Mathematics Education Gyeongsang National University Jinju 52828, Korea

Abstract

The concept of kernels in ordered BCI-algebras was first introduced by Yang-Roh-Jun. This paper extends the concept to specific kernels, called here Y-kernels. To be more precise, two sorts of Y-kernels related to function were first introduced and the relations between them and between these Y-kernels and kernels were studied. Next, related to ordered function (and (ordered) homomorphism) the same relations are investigated.

Keywords

Journal of Algebra and Related Topics

Articles in Press, Accepted Manuscript
Available Online from 04 December 2024

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