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BRACKET FUNCTIONS ON GROUPOIDS

Title
BRACKET FUNCTIONS ON GROUPOIDS
Author
김희식
Keywords
bracket function; e-bracket image algebra; e-bracket-abelian; d/B/BCK-algebra; Smarandache disjoint; Bin(X)
Issue Date
2019-04
Publisher
Korean Mathematical Society
Citation
Communications of the Korean Mathematical Society, v. 34, NO 2, Page. 375-381
Abstract
In this paper, we introduce an operation denoted by [Bre], a bracket operation, which maps an arbitrary groupoid (X, ∗) on a set X to another groupoid (X, •) = [Bre](X, ∗) which on groups corresponds to sending a pair of elements (x, y) of X to its commutator xyx−1y−1. When applied to classes such as d-algebras, BCK-algebras, a variety of results is obtained indicating that this construction is more generally useful than merely for groups where it is of fundamental importance.
URI
http://koreascience.or.kr/article/JAKO201914439301400.pagehttps://repository.hanyang.ac.kr/handle/20.500.11754/110609
ISSN
1225-1763; 2234-3024
DOI
10.4134/CKMS.c180136
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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