%0 Journal Article %A Ostadhadi-Dehkordi, S. %A Shum, K. P. %T Quotient G-systems and Green's Relations %J Iranian Journal of Mathematical Sciences and Informatics %V 15 %N 1 %U http://ijmsi.ir/article-1-1082-en.html %R 10.29252/ijmsi.15.1.85 %D 2020 %K n-ary Semihypergroup, G-system, Greens relations., %X 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 Green'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. %> http://ijmsi.ir/article-1-1082-en.pdf %P 85-97 %& 85 %! %9 Research paper %L A-10-443-2 %+ Department of Mathematics, Hormozgan University, Bandar Abbas, Iran. %G eng %@ 1735-4463 %[ 2020