不可逆元素唯一干净的环

Bulletin of the Transilvania University of Brasov Series V Economic Sciences Pub Date : 2023-07-03 DOI:10.31926/but.mif.2023.3.65.1.12

Y. Guo, H. Jiang

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引用次数: 0

摘要

如果环R中的每个不可逆元素都是唯一干净的，我们称环R为广义唯一干净(简称GUC)。设R是一个环。证明了R是GUC当且仅当它是局部环或唯一干净环。因此，GUC环是局部环的推广。证明了GUC环的一些基本性质。

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Rings in which not invertible elements are uniquely clean

We call a ring R a generalized uniquely clean (or GUC for short) if every not invertible element in R is uniquely clean. Let R be a ring. It is shown that R is GUC if and only if it is a local ring or a uniquely clean ring. Thus the GUC ring is a generalization of the local ring. Some basic properties of GUC rings are proved.

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来源期刊

Bulletin of the Transilvania University of Brasov Series V Economic Sciences

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0.00%

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审稿时长

11 weeks