Function kernels and divisible groupoidsopen access
- Authors
- Kim, Hee Sik; Park, Choonkil; Shim, Eun Hwa
- Issue Date
- May-2022
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- groupoid; BCK-algebra; phi-kernel; coset; divisible; idenfunction
- Citation
- AIMS MATHEMATICS, v.7, no.7, pp.13563 - 13572
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 7
- Start Page
- 13563
- End Page
- 13572
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/170221
- DOI
- 10.3934/math.2022749
- Abstract
- In this paper, we introduce the notion of a function kernel which was motivated from the kernel in group theory, and we apply this notion to several algebraic structures, e.g., groups, groupoids, BCK-algebras, semigroups, leftoids. Using the notions of left and right cosets in groupoids, we investigate some relations with function kernels. Moreover, the notion of an idenfunction in groupoids is introduced, which is a generalization of an identity axiom in algebras by functions, and we discuss it with function kernels.
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