半星形$*$-正则环的单位正则性和可表示性

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-07-31 DOI:10.5817/am2020-1-43

C. Herrmann

引用次数: 0

摘要

证明了任何半正则*环R都是单位正则环;另外，如果R是次直接不可约的，那么它允许在某个内积空间中有一个表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unit-regularity and representability for semiartinian $*$-regular rings

We show that any semiartinian *-regular ring R is unit-regular; if, in addition, R is subdirectly irreducible then it admits a representation within some inner product space.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.