Weak Frobenius monads and Frobenius bimodules

• Дата: 2016
• Автор: Wisbauer, Robert
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: pairing of functors; adjoint functors; weak (co)monads; Frobenius monads; firm modules; cofirm comodules; separability; 18A40; 18C20; 16T1
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/133
• Назва журналу: Algebra and Discrete Mathematics

As observed by  Eilenberg and  Moore (1965), for a monad \(F\) with right adjoint comonad \(G\) on any category \(\mathbb{A}\),  the category of unital \(F\)-modules \(\mathbb{A}_F\) is isomorphic to the category of counital \(G\)-comodules \(\mathbb{A}^G\). The monad \(F\) is Frobenius provided we...