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Algebra and Discrete Mathematics, 2011, Volume 12, Issue 2, Pages 102–111 (Mi adm153)  
RESEARCH ARTICLE

On the one-side equivalence of matrices with given canonical diagonal form

V. Shchedryk

Pidstryhach Institute for Applied Problems of mechanics and Mathematics NAS of Ukraine, 3b Naukova Str., Lviv, 79060
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Abstract: The simpler form of a matrix with canonical diagonal form $\mathrm{diag}(1,\dots,1,\varphi,\dots,\varphi)$ obtained by the one-side transformation is determined.
Keywords: adequate ring, canonical diagonal form, Hermite normal form, one-side equivalence of matrices, invariants, primitive matrices.
Received: 16.09.2011
Revised: 21.12.2011
Bibliographic databases:
Document Type: Article
MSC: 15A21
Language: English
Citation: V. Shchedryk, “On the one-side equivalence of matrices with given canonical diagonal form”, Algebra Discrete Math., 12:2 (2011), 102–111
Citation in format AMSBIB
\Bibitem{Shc11}
\by V.~Shchedryk
\paper On the one-side equivalence of matrices with given canonical diagonal form
\jour Algebra Discrete Math.
\yr 2011
\vol 12
\issue 2
\pages 102--111
\mathnet{http://mi.mathnet.ru/adm153}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952906}
\zmath{https://zbmath.org/?q=an:1260.15017}
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