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

Tetyana Kysil, Bogdan Zabavskiy, Olga Domsha

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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