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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2009
1. Verfasser: Shchedryk, V.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2009
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/154567
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Zitieren: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
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author Shchedryk, V.
author_facet Shchedryk, V.
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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T15:15:36Z
publishDate 2009
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling 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
spellingShingle Factorization of matrices over elementary divisor domain
Shchedryk, V.
title 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_short Factorization of matrices over elementary divisor domain
title_sort factorization of matrices over elementary divisor domain
url https://nasplib.isofts.kiev.ua/handle/123456789/154567
work_keys_str_mv AT shchedrykv factorizationofmatricesoverelementarydivisordomain