The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups

Jeong Soon Han, Hee Sik Kim and J. Neggers

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We introduce the notion of hypergroupoids (HBin(X), □), and show that (HBin(X), □) is a super‐semigroup of the semigroup (Bin(X), □) via the identification x↔{x}. We prove that (HBin*(X), ⊖, [∅]) is a BCK‐algebra, and obtain several properties of (HBin*(X), □).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:717698

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