每个元素都是幂等和幂零的超环

Q4 Mathematics Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1360

Y. Talebi, M. Farzinejad

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引用次数: 0

摘要

本文基于一般超环R的幂零元符号，定义了一般超环的广义clean - of - Krasner超环，命名为nil clean -超环。研究了这类超环的性质，最后得到了零干净一般超环与其他超环的一些关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hyperrings which every element is sum of an idempotent and nilpotent

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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