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Algebra and Discrete Mathematics, 2003, Issue 1, Pages 1–5 (Mi adm364)  
RESEARCH ARTICLE

Almost all derivative quivers of artinian biserial rings contain chains

Tetjana Avdeevaa, Olexandr Ganyushkinb

a National Technical University of Ukraine "Kiev Polytechnic Institute", Kyiv, Ukraine Department of Physics and Mathematics, National of Technical University of Ukraine "Kyiv of Polytechnical Institute", 37, Peremohy pr., Kyiv, UKRAINE
b Department ofMechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kyiv, UKRAINE
Full-text PDF (134 kB)
Abstract: 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.
Keywords: artinian rings, quivers, bipartite graphs.
Received: 06.12.2002
Bibliographic databases:
Document Type: Article
MSC: 05C30, 05C38, 16P20
Language: English
Citation: Tetjana Avdeeva, Olexandr Ganyushkin, “Almost all derivative quivers of artinian biserial rings contain chains”, Algebra Discrete Math., 2003, no. 1, 1–5
Citation in format AMSBIB
\Bibitem{AvdGan03}
\by Tetjana~Avdeeva, Olexandr~Ganyushkin
\paper Almost all derivative quivers of artinian biserial rings contain chains
\jour Algebra Discrete Math.
\yr 2003
\issue 1
\pages 1--5
\mathnet{http://mi.mathnet.ru/adm364}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051634}
\zmath{https://zbmath.org/?q=an:1033.05058}
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