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Algebra and Discrete Mathematics, 2009, Issue 2, Pages 79–98 (Mi adm121)  
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
Full-text PDF (288 kB) Citations (6)
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
Bibliographic databases:
Document Type: Article
MSC: 15A21
Language: English
Citation: Volodymyr Shchedryk, “Factorization of matrices over elementary divisor domain”, Algebra Discrete Math., 2009, no. 2, 79–98
Citation in format AMSBIB
\Bibitem{Shc09}
\by Volodymyr~Shchedryk
\paper Factorization of matrices over elementary divisor domain
\jour Algebra Discrete Math.
\yr 2009
\issue 2
\pages 79--98
\mathnet{http://mi.mathnet.ru/adm121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589075}
\zmath{https://zbmath.org/?q=an:1199.15039}
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  • https://www.mathnet.ru/eng/adm121
  • https://www.mathnet.ru/eng/adm/y2009/i2/p79
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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