Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring

• Дата: 2023
• Автор: Bondarenko, V. M.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: Munn algebra; Rees semigroup; regular sandwich matrix; noncommutative polynomial; generators and defining relations; normal presentation; 16H99; 20M10 20G35
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2084
• Назва журналу: Algebra and Discrete Mathematics

We consider the Munn matrix algebras over an associative unital \(K\)-algebra \(\mathcal{A}\), where \(K\) is a commutative (unital) ring and \(\mathcal{A}\) as a \(K\)-module is free (of finite or infinite rank), and, for each (not necessarily finitely defined) presentation of \(\mathcal{A}\), we g...