Dimensions of finite type for representations of partially ordered sets

• Date: 2018
• Main Authors: Drozd, Yuriy A., Kubichka, Eugene A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Representations of posets; finite type; indecomposable representations; 16G20,16G60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/997
• Journal Title: Algebra and Discrete Mathematics

We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a dimension to be of finite type. We also characterize those dimensions of finite type...