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Algebra and Discrete Mathematics, 2005, Issue 2, Pages 46–57 (Mi adm302)  
This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

Some properties of primitive matrices over Bezout B-domain

V. P. Shchedryk

Department of Algebra Pidsryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine 3b Naukova Str. Lviv, 79060, UKRAINE
Full-text PDF (211 kB) Citations (6)
Abstract: The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B – domain, i.e. commutative domain finitely generated principal ideal in which for all $a,b,c$ with $(a,b,c)=1,c\neq 0,$ there exists element $r\in R$, such that $(a+rb, c)=1$ is investigated. The results obtained enable to describe invariants transforming matrices, i.e. matrices which reduce the given matrix to its canonical diagonal form.
Keywords: elementary divisor ring, Bezout $B$-domain, canonical diagonal form, transformable matrices, invariants, primitive matrices.
Received: 11.05.2004
Revised: 08.05.2005
Bibliographic databases:
Document Type: Article
MSC: 15A21
Language: English
Citation: V. P. Shchedryk, “Some properties of primitive matrices over Bezout B-domain”, Algebra Discrete Math., 2005, no. 2, 46–57
Citation in format AMSBIB
\Bibitem{Shc05}
\by V.~P.~Shchedryk
\paper Some properties of primitive matrices over Bezout B-domain
\jour Algebra Discrete Math.
\yr 2005
\issue 2
\pages 46--57
\mathnet{http://mi.mathnet.ru/adm302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2238217}
\zmath{https://zbmath.org/?q=an:1091.15013}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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