RT - Journal Article T1 - Quotient G-systems and Green's Relations JF - IJMSI YR - 2020 JO - IJMSI VO - 15 IS - 1 UR - http://ijmsi.ir/article-1-1082-en.html SP - 85 EP - 97 K1 - n-ary Semihypergroup K1 - G-system K1 - Greens relations. AB - 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. LA eng UL http://ijmsi.ir/article-1-1082-en.html M3 10.29252/ijmsi.15.1.85 ER -