The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups

Title
The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups
Author
김희식
Keywords
Mathematics; Applied Mathematics; QA1-939
Issue Date
2012-08
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
Journal of Applied Mathematics, 2012, 2012(2012), P.717698, 8P.
Abstract
We introduce the notion of hypergroupoids (HBin(X), square), and show that (HBin(X), square), is a super-semigroup of the semigroup (Bin(X), square), via the identification x <-> {x}. We prove that (HBin*(X), circle minus, [empty set]) is a BCK-algebra, and obtain several properties of (HBin*(X), square).
URI
https://www.hindawi.com/journals/jam/2012/717698/http://hdl.handle.net/20.500.11754/48300
ISSN
1110-757X
DOI
10.1155/2012/717698
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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