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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Date: | 2009 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2009
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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. |