2Simple ore domains of stable rank 1

Authors: O V Domsha B V Zabavs’kyi

Publish Date: 2011/04/20

Volume: 62, Issue: 10, Pages: 1666-1672

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Abstract

It is known that a simple Bézout domain is a domain of elementary divisors if and only if it is 2simple We prove that over a 2simple 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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