
RESEARCH ARTICLE
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are twosides
Tetyana Kysil^{a}, Bogdan Zabavskiy^{b}, Olga Domsha^{b} ^{a} Khmelnitsky National University, The faculty of Applied Mathematics and Computer Technologies, Applied Mathematics and Social Informatics Department
^{b} Lviv national university named after I. Franko, The faculty of Mechanics and Mathematics, The chair of Algebra and Logic
Abstract:
It is proved that each matrix over Bezout domain of stable range $1$ with Dubrovin's condition, in which every maximal nonprincipal ideals are thosides ideals, is equivalent to diagonal one with right total division of diagonal elements.
Keywords:
Bezout domain, domain of stable range 1, Dubrovin's condition, maximal nonprincipal ideal, right total division
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Received: 21.04.2012 Revised: 19.05.2012
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Tetyana Kysil, Bogdan Zabavskiy, Olga Domsha, “Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are twosides”, Algebra Discrete Math., 14:2 (2012), 230–235
Citation in format AMSBIB
\Bibitem{KysZabDom12}
\by Tetyana~Kysil, Bogdan~Zabavskiy, Olga~Domsha
\paper Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are twosides
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 2
\pages 230235
\mathnet{http://mi.mathnet.ru/adm95}
\mathscinet{http://www.ams.org/mathscinetgetitem?mr=3099971}
\zmath{https://zbmath.org/?q=an:1290.15008}
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