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Quasi-Euclidean duo rings with elementary reduction of matrices

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title Quasi-Euclidean duo rings with elementary reduction of matrices
 
Creator Romaniv, O.
Sagan, A.
 
Description We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchange quasi-duo Bezout ring is a ring with elementary reduction of matrices iff it is a duo ring.
 
Date 2019-06-16T10:10:59Z
2019-06-16T10:10:59Z
2015
 
Type Article
 
Identifier Quasi-Euclidean duo rings with elementary reduction of matrices / O. Romaniv, A. Sagan // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 317-324. — Бібліогр.: 15 назв. — англ.
1726-3255
2010 MSC:13F99.
http://dspace.nbuv.gov.ua/handle/123456789/155173
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України