Almost all derivative quivers of artinian biserial rings contain chains

• Date: 2018
• Main Authors: Avdeeva, Tetjana, Ganyushkin, Olexandr
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: artinian rings; quivers; bipartite graphs; 05C30; 05C38; 16P20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/948
• Journal Title: Algebra and Discrete Mathematics

A lower estimate for the number \(M_n\) of all labelled quivers with n–vertex parts of Artinian biserial rings is given and the asymptotic of the relation \(M_n/B_n\), where \(B_n\) denotes the number of those quivers all connected components of which are cycles, is studied.