Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

He, Ji-Wei; Van Oystaeyen, Fred; Zhang, Yinhuo

doi:10.1090/S0002-9939-2014-12336-7

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras
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by Ji-Wei He, Fred Van Oystaeyen and Yinhuo Zhang

Proc. Amer. Math. Soc. 143 (2015), 1423-1434

DOI: https://doi.org/10.1090/S0002-9939-2014-12336-7

Published electronically: November 12, 2014

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Abstract:

We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coherent. The superpotentials associated to these graded Calabi-Yau algebras are also constructed.

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