Almost all derivative quivers of artinian biserial rings contain chains

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. 

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Bibliographic Details
Date:2018
Main Authors: Avdeeva, Tetjana, Ganyushkin, Olexandr
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/948
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-948
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spelling admjournalluguniveduua-article-9482018-05-13T06:43:21Z Almost all derivative quivers of artinian biserial rings contain chains Avdeeva, Tetjana Ganyushkin, Olexandr artinian rings, quivers, bipartite graphs 05C30, 05C38, 16P20 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.  Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/948 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/948/477 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-13T06:43:21Z
collection OJS
language English
topic artinian rings
quivers
bipartite graphs
05C30
05C38
16P20
spellingShingle artinian rings
quivers
bipartite graphs
05C30
05C38
16P20
Avdeeva, Tetjana
Ganyushkin, Olexandr
Almost all derivative quivers of artinian biserial rings contain chains
topic_facet artinian rings
quivers
bipartite graphs
05C30
05C38
16P20
format Article
author Avdeeva, Tetjana
Ganyushkin, Olexandr
author_facet Avdeeva, Tetjana
Ganyushkin, Olexandr
author_sort Avdeeva, Tetjana
title Almost all derivative quivers of artinian biserial rings contain chains
title_short Almost all derivative quivers of artinian biserial rings contain chains
title_full Almost all derivative quivers of artinian biserial rings contain chains
title_fullStr Almost all derivative quivers of artinian biserial rings contain chains
title_full_unstemmed Almost all derivative quivers of artinian biserial rings contain chains
title_sort almost all derivative quivers of artinian biserial rings contain chains
description 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. 
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/948
work_keys_str_mv AT avdeevatetjana almostallderivativequiversofartinianbiserialringscontainchains
AT ganyushkinolexandr almostallderivativequiversofartinianbiserialringscontainchains
first_indexed 2025-12-02T15:41:31Z
last_indexed 2025-12-02T15:41:31Z
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