On quotientable hyperrings

The purpose of this paper is to compute of fundamental relations of hyperrings. In this regards first we introduce the concept of fundamental ring via the fundamental relation g, then we show that any given ring is isomorphic to the fundamental ring of a nontrivial hyperring. Also we show that any hyperring is a quotientable and partitionable hyperring, also any quotientable hyperring is a partitionable hyperring.