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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.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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Shchedryk, V. 2019-06-15T16:33:32Z 2019-06-15T16:33:32Z 2009 Factorization of matrices over elementary divisor domain / V. Shchedryk // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 79–98. — Бібліогр.: 22 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:15A21. https://nasplib.isofts.kiev.ua/handle/123456789/154567 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.f. for matrix and c.d.f. for its divisors is established. The uniqueness theorem is proved. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Factorization of matrices over elementary divisor domain Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Factorization of matrices over elementary divisor domain |
| spellingShingle |
Factorization of matrices over elementary divisor domain Shchedryk, V. |
| title_short |
Factorization of matrices over elementary divisor domain |
| title_full |
Factorization of matrices over elementary divisor domain |
| title_fullStr |
Factorization of matrices over elementary divisor domain |
| title_full_unstemmed |
Factorization of matrices over elementary divisor domain |
| title_sort |
factorization of matrices over elementary divisor domain |
| author |
Shchedryk, V. |
| author_facet |
Shchedryk, V. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.f. for matrix and c.d.f. for its divisors is established. The uniqueness theorem is proved.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154567 |
| citation_txt |
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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AT shchedrykv factorizationofmatricesoverelementarydivisordomain |
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2025-12-07T15:15:36Z |
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2025-12-07T15:15:36Z |
| _version_ |
1850863031794270208 |