Open AccessConvex ordered Gamma-semihypergroups associated to strongly regular relations
Author(s) -
Saber Omidi,
Bijan Davvaz
Publication year - 2017
Publication title -
matematika
Language(s) - English
Resource type - Journals
eISSN - 0127-9602
pISSN - 0127-8274
DOI - 10.11113/matematika.v33.n2.838
Subject(s) - mathematics , quotient , regular polygon , pure mathematics , sigma , relation (database) , set (abstract data type) , semigroup , partially ordered set , combinatorics , physics , computer science , geometry , quantum mechanics , database , programming language
In this study, we introduce and investigate the notion of convex ordered Gamma-semihypergroups associated to strongly regular relations. Afterwards, we prove that if sigma is a strongly regular relation on a convex ordered Gamma-semihypergroup, then the quotient set is an ordered Gamma-sigma-semigroup. Also, some results on the product of convex ordered Gamma-semihypergroups are given. As an application of the results of this paper, the corresponding results of ordered semihypergroups are also obtained by moderate modifications.