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., 2012, Volume 14, Issue 2,Pages <nobr>230

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 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 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.

Received: 21.04.2012
Revised: 19.05.2012

Language: English