Quasi-unit regularity and QB-rings

Some relations for quasiunit regular rings and QB-rings, as well as for pseudounit regular rings and QB ∞-rings, are obtained. In the first part of the paper, we prove that (an exchange ring R is a QB-ring) ⟺ (whenever x ∈ R is regular, there exists a quasiunit regular element w ∈ R such that x = xy...

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Bibliographic Details
Date:2012
Main Authors: Jianghua Li, Xiaoqing Sun, Xiaoqin Shen, Shangping Wang
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164158
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quasi-unit regularity and QB-rings/ Jianghua Li, Xiaoqing Sun, Xiaoqin Shen, Shangping Wang // Український математичний журнал. — 2012. — Т. 64, № 3. — С. 415-425. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine