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Algebra and Discrete Mathematics, 2003, выпуск 1, страницы 1–5
(Mi adm364)
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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
Аннотация:
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.
Ключевые слова:
artinian rings, quivers, bipartite graphs.
Поступила в редакцию: 06.12.2002
Образец цитирования:
Tetjana Avdeeva, Olexandr Ganyushkin, “Almost all derivative quivers of artinian biserial rings contain chains”, Algebra Discrete Math., 2003, no. 1, 1–5
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm364 https://www.mathnet.ru/rus/adm/y2003/i1/p1
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Страница аннотации: | 98 | PDF полного текста: | 53 | Первая страница: | 1 |
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