Almost all derivative quivers of artinian biserial rings contain chains

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Avdeeva, T., Ganyushkin, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155281
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Almost all derivative quivers of artinian biserial rings contain chains / T. Avdeeva, O. Ganyushkin // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 1–5. — Бібліогр.: 9 назв. — англ.

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