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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2012, Volume 14, Issue 2, Pages 230–235 (Mi adm95)

RESEARCH ARTICLE

Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are two-sides

Tetyana Kysila, Bogdan Zabavskiyb, Olga Domshab

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 tho-sides 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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Citation: 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 two-sides”, 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 two-sides \jour Algebra Discrete Math. \yr 2012 \vol 14 \issue 2 \pages 230--235 \mathnet{http://mi.mathnet.ru/adm95} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3099971} \zmath{https://zbmath.org/?q=an:1290.15008}