The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups
Copyright policy ) Han, Jeong Soon; Kim, Hee Sik; Neggers, J.;
The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups
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), □).
- University of Alabama, USA United States
- Hanyang University Korea (Republic of)
- Department of Mathematics
- University of Alabama System United States
- Royal Belgian Institute of Natural Sciences Belgium
hypergroupoid semigroups, Relational systems, laws of composition, QA1-939, semigroups of binary systems, Hypergroups, Sets with a single binary operation (groupoids), Mathematics, groupoid semigroups, Other algebras related to logic
hypergroupoid semigroups, Relational systems, laws of composition, QA1-939, semigroups of binary systems, Hypergroups, Sets with a single binary operation (groupoids), Mathematics, groupoid semigroups, Other algebras related to logic
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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