%0 Journal Article %T Hyperrings which every element is sum of an idempotent and nilpotent %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Talebi, Yahya %A Farzinejad, Marziyeh %D 2019 %\ 03/01/2019 %V 6 %N 1 %P 103-114 %! Hyperrings which every element is sum of an idempotent and nilpotent %K Hyperring %K General hyperring %K Nil clean general hyperring %R 10.22034/as.2019.1360 %X In this paper, we define a generalized of clean of Krasner hyperrings for general hyperrings based on the notation of nilpotent elements of a general hyperring $R$, named nil clean hyperring. We examine characterization of this kind of hyperrings and finally, we obtain some relations of nil clean general hyperrings with other hyperrings. %U https://as.yazd.ac.ir/article_1360_49631d4e52027e3f5b10ea79a408c66c.pdf