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

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

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

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Bibliographic Details
Date:2018
Main Authors: Kysil, Tetyana, Zabavskiy, Bogdan, Domsha, Olga
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Bezout domain
domain of stable range 1
Dubrovin’s condition
maximal nonprincipal ideal
right total division
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/722
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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