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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 A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M.
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Інститут прикладної математики і механіки НАН України
2020
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188552 |
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irk-123456789-1885522023-03-06T01:26:56Z Gentle m-Calabi-Yau tilted algebras Garcia Elsener, A. 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 A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M. 2020 Article Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. 1726-3255 DOI:10.12958/adm1423 http://dspace.nbuv.gov.ua/handle/123456789/188552 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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 A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M. |
| format |
Article |
| author |
Garcia Elsener, A. |
| spellingShingle |
Garcia Elsener, A. Gentle m-Calabi-Yau tilted algebras Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188552 |
| citation_txt |
Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT garciaelsenera gentlemcalabiyautiltedalgebras |
| first_indexed |
2023-10-18T23:08:37Z |
| last_indexed |
2023-10-18T23:08:37Z |
| _version_ |
1796157360209657856 |