Quotient G-systems and Green's Relations

Sohrab Ostadhadi-Dehkordi, K. P. Shum · Iranian Journal of Mathematical Sciences and Informatics · 2020

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.

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