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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     author = {Tetyana Kysil and Bogdan Zabavskiy and Olga Domsha},
     title = {Reduction of matrices over {Bezout} domains of stable range 1 with {Dubrovin's} condition in which maximal nonprincipal ideals are two-sides},
     journal = {Algebra and discrete mathematics},
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     publisher = {mathdoc},
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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/