Factorization of matrices over elementary divisor domain

• Дата: 2018
• Автор: Shchedryk, Volodymyr
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: elementary divisor ring; canonical diagonal form; factorization of matrices up to associate; divisor of matrices; 15A21
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779
• Назва журналу: Algebra and Discrete Mathematics

We propose constructive criteria of divisibility and associativity of matrices over commutative elementary divisor ring without zero divisors. On this base, the explicit form for all non-associated divisors which have prescribed canonical diagonal forms (c.d.f.) is indicated. A relation between c.d....