Title of article :
Quotient G-systems and Green's Relations
Author/Authors :
Ostadhadi-Dehkordi, Sohrab Department of Mathematics - University of Hormozgan, Bandar Abbas, Iran , Ping Shum, Kar Institute of Mathematics -Yunnan University, Kunming, China
Abstract :
In this paper, we first introduce the concepts of G-systems, quotient G-systems and isomorphism theorems on G-systems of n-ary semihypergroups .
Also we consider the Greenchr('39')s equivalences on G-systems and further in-vestigate some of their properties. A number of n-ary semihypergroups
are constructed and presented as examples in this paper.
Keywords :
n-ary Semihypergroup , G-system , Greens relations
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
