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Construction of BCK-neighborhood systems in a d-algebraopen access

Authors
Kim, Hee SikNeggers, J.Ahn, Sun Shin
Issue Date
2021
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
BCK-neighborhood system; d-algebra
Citation
AIMS MATHEMATICS, v.6, no.9, pp 9422 - 9435
Pages
14
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
6
Number
9
Start Page
9422
End Page
9435
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/5614
DOI
10.3934/math.2021547
ISSN
2473-6988
2473-6988
Abstract
The BCK-neighborhood systems in d-algebras as measures of distance of these algebras from BCK-algebras is introduced. We consider examples of various cases and situations related to the general theory, as well as a compilcated analytical example of one of particular interest in the theory of pseudo-BCK-algebras. It appears also that a digraph theory may play a constructive role in this case as it dose in the theory of BCK-algebras.
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