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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Datum:2020
1. Verfasser: Garcia Elsener, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/188552
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine