Hyperrings which every element is sum of an idempotent and nilpotent
نویسندگان
1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
doi
10.22034/as.2019.1360چکیده
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.
