Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type

We give a derived equivalence classification of algebras of the form\(\hat{A}/\ang{\ph}\) for some piecewise hereditary algebra \(A\)of tree type and some automorphism \(\ph\) of \(\hat{A}\) suchthat \(\ph(A^{[0]}) = A^{[n]}\) for some positive integer \(n\).

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Datum:2015
Hauptverfasser: Asashiba, Hideto, Kimura, Mayumi
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2015
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-422015-09-28T11:22:08Z Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type Asashiba, Hideto Kimura, Mayumi derived equivalence, piecewise hereditary, quivers, orbit categories 16G30, 16E35, 16W22 We give a derived equivalence classification of algebras of the form\(\hat{A}/\ang{\ph}\) for some piecewise hereditary algebra \(A\)of tree type and some automorphism \(\ph\) of \(\hat{A}\) suchthat \(\ph(A^{[0]}) = A^{[n]}\) for some positive integer \(n\). Lugansk National Taras Shevchenko University 2015-09-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42 Algebra and Discrete Mathematics; Vol 19, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42/9 Copyright (c) 2015 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2015-09-28T11:22:08Z
collection OJS
language English
topic derived equivalence
piecewise hereditary
quivers
orbit categories
16G30
16E35
16W22
spellingShingle derived equivalence
piecewise hereditary
quivers
orbit categories
16G30
16E35
16W22
Asashiba, Hideto
Kimura, Mayumi
Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
topic_facet derived equivalence
piecewise hereditary
quivers
orbit categories
16G30
16E35
16W22
format Article
author Asashiba, Hideto
Kimura, Mayumi
author_facet Asashiba, Hideto
Kimura, Mayumi
author_sort Asashiba, Hideto
title Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
title_short Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
title_full Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
title_fullStr Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
title_full_unstemmed Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
title_sort derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
description We give a derived equivalence classification of algebras of the form\(\hat{A}/\ang{\ph}\) for some piecewise hereditary algebra \(A\)of tree type and some automorphism \(\ph\) of \(\hat{A}\) suchthat \(\ph(A^{[0]}) = A^{[n]}\) for some positive integer \(n\).
publisher Lugansk National Taras Shevchenko University
publishDate 2015
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42
work_keys_str_mv AT asashibahideto derivedequivalenceclassificationofgeneralizedmultifoldextensionsofpiecewisehereditaryalgebrasoftreetype
AT kimuramayumi derivedequivalenceclassificationofgeneralizedmultifoldextensionsofpiecewisehereditaryalgebrasoftreetype
first_indexed 2025-07-17T10:31:17Z
last_indexed 2025-07-17T10:31:17Z
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