The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups

Joint Authors

Kim, Hee Sik
Neggers, J.
Han, Jeong Soon

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-24

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We introduce the notion of hypergroupoids (HBinX,□), 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),□).

American Psychological Association (APA)

Han, Jeong Soon& Kim, Hee Sik& Neggers, J.. 2012. The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-1028983

Modern Language Association (MLA)

Han, Jeong Soon…[et al.]. The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups. Journal of Applied Mathematics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-1028983

American Medical Association (AMA)

Han, Jeong Soon& Kim, Hee Sik& Neggers, J.. The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-1028983

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1028983