Gentle \(m\)-Calabi-Yau tilted algebras
We prove that all gentle 2-Calabi-Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the \(m\)-cluster-tilted algebras of type \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\), we prove that a module \(M\) is stable Cohen-Macaula...
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| Дата: | 2020 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-14232021-01-05T07:08:40Z Gentle \(m\)-Calabi-Yau tilted algebras Garcia Elsener, A. 2-Calabi-Yau tilted algebras, Jacobian algebras, Gentle algebras, derived category, Cohen-Macaulay modules, cluster-tilted algebras 16G20 We prove that all gentle 2-Calabi-Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the \(m\)-cluster-tilted algebras of type \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\), we prove that a module \(M\) is stable Cohen-Macaulay if and only if \(\Omega^{m+1} \tau M \simeq M\). Lugansk National Taras Shevchenko University CONICET and PICT 2013-0799 ANPCyT 2020-12-30 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423 10.12958/adm1423 Algebra and Discrete Mathematics; Vol 30, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423/pdf Copyright (c) 2020 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
2-Calabi-Yau tilted algebras Jacobian algebras Gentle algebras derived category Cohen-Macaulay modules cluster-tilted algebras 16G20 |
| spellingShingle |
2-Calabi-Yau tilted algebras Jacobian algebras Gentle algebras derived category Cohen-Macaulay modules cluster-tilted algebras 16G20 Garcia Elsener, A. Gentle \(m\)-Calabi-Yau tilted algebras |
| topic_facet |
2-Calabi-Yau tilted algebras Jacobian algebras Gentle algebras derived category Cohen-Macaulay modules cluster-tilted algebras 16G20 |
| format |
Article |
| author |
Garcia Elsener, A. |
| author_facet |
Garcia Elsener, A. |
| author_sort |
Garcia Elsener, A. |
| title |
Gentle \(m\)-Calabi-Yau tilted algebras |
| title_short |
Gentle \(m\)-Calabi-Yau tilted algebras |
| title_full |
Gentle \(m\)-Calabi-Yau tilted algebras |
| title_fullStr |
Gentle \(m\)-Calabi-Yau tilted algebras |
| title_full_unstemmed |
Gentle \(m\)-Calabi-Yau tilted algebras |
| title_sort |
gentle \(m\)-calabi-yau tilted algebras |
| description |
We prove that all gentle 2-Calabi-Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the \(m\)-cluster-tilted algebras of type \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\), we prove that a module \(M\) is stable Cohen-Macaulay if and only if \(\Omega^{m+1} \tau M \simeq M\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2020 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423 |
| work_keys_str_mv |
AT garciaelsenera gentlemcalabiyautiltedalgebras |
| first_indexed |
2024-04-12T06:25:10Z |
| last_indexed |
2024-04-12T06:25:10Z |
| _version_ |
1796109216964935680 |