Factorization of matrices over elementary divisor domain

We propose constructive criteria of divisibility and associativity of matrices over commutative elementary divisor ring without zero divisors. On this base, the explicit form for all non-associated divisors which have prescribed canonical diagonal forms (c.d.f.) is indicated. A relation between c.d....

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Bibliographic Details
Date:2009
Main Author: Shchedryk, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154567
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Factorization of matrices over elementary divisor domain / V. Shchedryk // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 79–98. — Бібліогр.: 22 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine