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Ordered BCI-algebras, Y-kernels and (ordered) functionsopen access

Authors
Yang, EunsukRoh, Eun HwanJun, Young Bae
Issue Date
Dec-2025
Publisher
Faculty of Mathematical Sciences | University of Guilan
Keywords
Kernel; Ordered BCI-algebra; Ordered function; Y-kernel
Citation
Journal of Algebra and Related Topics, v.13, no.2, pp 1 - 13
Pages
13
Indexed
SCOPUS
Journal Title
Journal of Algebra and Related Topics
Volume
13
Number
2
Start Page
1
End Page
13
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/81571
DOI
10.22124/jart.2024.26608.1626
ISSN
2345-3931
2382-9877
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.
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