Rings in Which Element is a Sum of the Transformation Elements of Idempotents and Special Elements

In this article, further generalizations are made for the nil clean ring and the ur-clean ring, obtained as extensions of the clean ring. Firstly, consider rings where each element can be expressed as n idempotents plus one nilpotent, any two commute under multiplication. Some properties of this rin...

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Bibliographic Details
Main Authors: Xinsong Yang, Jiaxin Liu
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/jom/5699805
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