Factorization of matrices over elementary divisor domain
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Factorization of matrices over elementary divisor domain
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| Creator |
Shchedryk, V.
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| 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.
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| Date |
2019-06-15T16:33:32Z
2019-06-15T16:33:32Z 2009 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/154567 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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