Geodesic
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are two-sides
Algebra and discrete mathematics, Tome 14 (2012) no. 2, pp. 230-235.

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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: maximal nonprincipal ideal, right total division.
Mots-clés : Bezout domain, domain of stable range 1, Dubrovin's condition 
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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 two-sides. Algebra and discrete mathematics, Tome 14 (2012) no. 2, pp. 230-235. http://geodesic.mathdoc.fr/item/ADM_2012_14_2_a6/

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