Hyperrings which every element is sum of an idempotent and nilpotent

Document Type : Research Paper


Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran



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.


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