On Frobenius full matrix algebras with structure systems

• Date: 2018
• Main Authors: Fujita, Hisaaki, Sakai, Yosuke, Simson, Daniel
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Frobenius algebra; quiver; module; socle; tame representation type; 16G10; 16G30; 16G60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/832
• Journal Title: Algebra and Discrete Mathematics

Let \(n\geq 2\) be an integer. In [5] and  [6], an \(n\times n\) \(\mathbb{A}\)-full matrix algebra over a field \(K\) is defined to be the set   \(\mathbb{M}_n(K)\) of all square \(n\times n\) matrices with coefficients in \(K\) equipped with a multiplication   defined by a structure system \(\math...