Almost all derivative quivers of artinian biserial rings contain chains
Algebra and discrete mathematics, no. 1 (2003), pp. 1-5.

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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, bipartite graphs.
Mots-clés : quivers
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Tetjana Avdeeva; Olexandr Ganyushkin. Almost all derivative quivers of artinian biserial rings contain chains. Algebra and discrete mathematics, no. 1 (2003), pp. 1-5. http://geodesic.mathdoc.fr/item/ADM_2003_1_a0/