Comparability for ideals of regular rings

In this paper we investigate necessary and sufficient conditions under which the ideals possess comparability structure. For regular rings, we prove that every square matrix over ideals satisfying general comparability admits a diagonal reduction by quasi-invertible matrices.

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Bibliographic Details
Published inScience China. Mathematics Vol. 48; no. 6; pp. 757 - 768
Main Author CHEN, Huanyin
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.06.2005
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Subjects
Rings (mathematics)
regular ring
QB-ideal
comparability
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Summary:In this paper we investigate necessary and sufficient conditions under which the ideals possess comparability structure. For regular rings, we prove that every square matrix over ideals satisfying general comparability admits a diagonal reduction by quasi-invertible matrices.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1006-9283
1674-7283
1869-1862
DOI:10.1360/03ys0267