摘要
In this paper,potent index of an element and pseudo clean rings are considered.Some properties and examples of pseudo clean rings are given.We also show that Zm is pseudo clean for every 2≤m∈Z and pseudo clean rings are clean.Furthermore,we prove pseudo clean rings are directly finite and have stable range one.
本文研究了元素的potent指数和伪clean环,给出了一些伪clean环的性质的例子,证明了Zm(2≤m∈Z)是伪clean环以及伪clean环是clean环.此外,本文也证明了伪clean环是直有限的且有稳定秩一.
出处
《数学杂志》
2025年第1期39-47,共9页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(12301041)。
