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Enveloping Algebra and Skew Calabi-Yau algebras over Skew Poincaré-Birkhoff-Witt Extensions

Published 18 Apr 2018 in math.AG and math.RA | (1804.06617v1)

Abstract: In this paper we show that the tensor product of skew PBW extensions is a skew PBW ex- tension. We also characterize the enveloping algebra of a skew PBW extension. Finally, we establish sufficient conditions to guarantee the property of being skew Calabi-Yau algebra over skew PBW extensions.

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