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Algebra and Discrete Mathematics, 2009, Issue 2, Pages 79–98
(Mi adm121)
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This article is cited in 6 scientific papers (total in 6 papers)
RESEARCH ARTICLE
Factorization of matrices over elementary divisor domain
Volodymyr Shchedryk Pidstryhach Institute for Applied Problems
of Mechanics and Mathematics NAS of
Ukraine,3b Naukova Str., L'viv, 79053, Ukraine
Abstract:
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.
Keywords:
elementary divisor ring, canonical diagonal form, factorization of matrices up to associate, divisor of matrices.
Received: 01.03.2006 Revised: 15.05.2009
Citation:
Volodymyr Shchedryk, “Factorization of matrices over elementary divisor domain”, Algebra Discrete Math., 2009, no. 2, 79–98
Linking options:
https://www.mathnet.ru/eng/adm121 https://www.mathnet.ru/eng/adm/y2009/i2/p79
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Abstract page: | 151 | Full-text PDF : | 57 | First page: | 1 |
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