Commutative domains of elementary divisors and some properties of their elements
We study commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertible matrices that reduce a given matrix to the diagonal form. Some properties of elements of these domains are indicated. We establish conditions, close to the stable-rank conditions, u...
Збережено в:
| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2012
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/2560 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertible
matrices that reduce a given matrix to the diagonal form. Some properties of elements of these domains are indicated.
We establish conditions, close to the stable-rank conditions, under which a commutative Bezout domain is a domain of ´
elementary divisors. |
|---|