Taybeh Amouzegar - Department of Mathematics, Quchan Institute of Engineering and Technology , Quchan, Iran
Yahya Talebi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

We introduce and study clean hyperrings. A hyperring R is called a clean hyperring if for every element x of R, x ∈ u + e where u is a unit and e is an idempotent. We also introduce GChyperring which is a proper generalization of clean hyperrings and obtain some related results of such hyperrings.

Hyperring, hyperideal, Clean hyperring, GC-hyperring