On clean hyperrings

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.

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Bibliographic Details
Main Authors: Taybeh Amouzegar, Yahya Talebi
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2015-06-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_2593_acbe609393b7ac6b593ce000bfcbe780.pdf
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