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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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2015
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543150684766208 |
|---|---|
| author | Asashiba, Hideto Kimura, Mayumi |
| author_facet | Asashiba, Hideto Kimura, Mayumi |
| author_sort | Asashiba, Hideto |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2015-09-28T11:22:08Z |
| 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 \(n\). |
| first_indexed | 2026-02-08T07:58:39Z |
| format | Article |
| id | admjournalluguniveduua-article-42 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:39Z |
| publishDate | 2015 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | 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 |
| topic | derived equivalence piecewise hereditary quivers orbit categories 16G30 16E35 16W22 |
| topic_facet | derived equivalence piecewise hereditary quivers orbit categories 16G30 16E35 16W22 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42 |
| work_keys_str_mv | AT asashibahideto derivedequivalenceclassificationofgeneralizedmultifoldextensionsofpiecewisehereditaryalgebrasoftreetype AT kimuramayumi derivedequivalenceclassificationofgeneralizedmultifoldextensionsofpiecewisehereditaryalgebrasoftreetype |