نتایج جستجو برای: nil clean rings

تعداد نتایج: 85385  

Journal: :Journal of Algebra 2013

Journal: :International Journal of Apllied Mathematics 2021

Journal: :Quasigroups and Related Systems 2023

We introduce the notion of weakly quasi invo-clean rings where every element $ r can be written as r=v+e or r=v-e $, $v\in Qinv(R)$ and e\in Id(R) $. study various properties elements rings. prove that ring R=\prod_{i\in I} R_i all are invo-clean, is if only factors but one invo-clean.

Journal: :Glasgow Mathematical Journal 2005

Journal: :Glasgow Mathematical Journal 2006

Journal: :Journal of the Australian Mathematical Society 2013

Journal: :Proceedings of the Edinburgh Mathematical Society 2007

Journal: :Analele Universitatii "Ovidius" Constanta - Seria Matematica 2020

2002
HUANYIN CHEN MIAOSEN CHEN M. CHEN

We introduce the notion of clean ideal, which is a natural generalization of clean rings. It is shown that every matrix ideal over a clean ideal of a ring is clean. Also we prove that every ideal having stable range one of a regular ring is clean. These generalize the corresponding results for clean rings. 1. Introduction. Let R be a unital ring. We say that R is a clean ring in case every elem...

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