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2-Simple ore domains of stable rank 1

It is known that a simple Bézout domain is a domain of elementary divisors if and only if it is 2-simple. We prove that, over a 2-simple Ore domain of stable rank 1, an arbitrary matrix that is not a divisor of zero is equivalent to a canonical diagonal matrix.

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Bibliographic Details
Date:	2010
Main Authors:	Domsha, O.V., Zabavskii, B. V., Домша, О. В., Забавський, Б. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2968
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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