TY - JOUR T1 - Quotient G-systems and Green's Relations TT - JF - IJMSI JO - IJMSI VL - 15 IS - 1 UR - http://ijmsi.ir/article-1-1082-en.html Y1 - 2020 SP - 85 EP - 97 KW - n-ary Semihypergroup KW - G-system KW - Greens relations. N2 - 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. M3 10.29252/ijmsi.15.1.85 ER -