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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:	2018
Main Author:	Shchedryk, Volodymyr
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	elementary divisor ring canonical diagonal form factorization of matrices up to associate divisor of matrices 15A21
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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