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

• Дата: 2018
• Автори: Kysil, Tetyana, Zabavskiy, Bogdan, Domsha, Olga
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Bezout domain; domain of stable range 1; Dubrovin’s condition; maximal nonprincipal ideal; right total division
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/722
• Назва журналу: Algebra and Discrete Mathematics

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