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Some regular equivalence relation on the semihypergroup of the partial transformation semigroup on a set and local subsemihypergroups with that regular equivalence relation

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Issued Date

2015

Resource Type

Article

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application/pdf

ISSN

13118080

DOI

10.12732/ijpam.v101i1.3

Other identifier(s)

2-s2.0-84926659189

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Scopus

Bibliographic Citation

International Journal of Pure and Applied Mathematics. Vol 101, No.1 (2015), p.21-31

Suggested Citation

Sararnrakskul R.I., Pianskool S. Some regular equivalence relation on the semihypergroup of the partial transformation semigroup on a set and local subsemihypergroups with that regular equivalence relation. International Journal of Pure and Applied Mathematics. Vol 101, No.1 (2015), p.21-31. doi:10.12732/ijpam.v101i1.3 Retrieved from: https://hdl.handle.net/20.500.14740/6194

Title

Some regular equivalence relation on the semihypergroup of the partial transformation semigroup on a set and local subsemihypergroups with that regular equivalence relation

Author(s)

Sararnrakskul R.I.
 Pianskool S.

Abstract

A hyperoperation ○ on a nonempty set H is a function from H x H into P∗(H) where P∗(H) is the set of all nonempty subset of H and (H, ○) is call a hypergroupoid. A hypergroupoid (H, ○) is called a semihypergroup if the hyperoperation ○ is associative. Thus, semihypergroups generalize semigroups. Moreover, if S is a semigroup; we can define a hyperoperation ○ on S in order to make (S, ○) a semihypergroup. In 2013, R.I. Sararnrakskul defined a hyperoperation ○ on the partial transformation semigroup P (X) to make a semihypergroup. In this paper, we define a regular equivalence relation ρon (P (X), ○) so that P (X)/ρ is a semihypergroup and then we studies some subsemihypergroup of P (X)/ρ. © 2015 Academic Publications, Ltd.

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URI

https://hdl.handle.net/20.500.14740/6194

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Scopus: Year 1983-2021

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