On fully wild categories of representations of posets

• Дата: 2018
• Автор: Kasjan, Stanislaw
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: representations of posets; wild; fully wild representation type; endofunctors of wild module category; 16G60; 16G30; 03C60
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/899
• Назва журналу: Algebra and Discrete Mathematics

Assume that \(I\) is a finite partially ordered set and \(k\) is a field. We prove that if the category \(\mbox{ prin}(kI)\) of prinjective modules over the incidence \(k\)-algebra \(kI\) of \(I\) is fully \(k\)-wild then the category \({\bf fpr}(I,k)\) of finite dimensional \(k\)-representations of...