Quasi-Euclidean duo rings with elementary reduction of matrices

• Дата: 2016
• Автори: Romaniv, Oleh, Sagan, Andriy
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: Bezout ring; duo ring; stable range; semiexchange ring; ring with elementary reduction of matrices; 13F99
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127
• Назва журналу: Algebra and Discrete Mathematics

We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchan...