泊松代数张量积的上同环

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J180762

Can Zhu

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引用次数: 0

摘要

．本文研究了泊松代数张量积的泊松上同环。明确地证明了两个泊松代数的张量积的泊松上同构环与作为Gerstenhaber代数的这两个泊松代数各自的泊松上同构环的张量积是同构的。

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COHOMOLOGY RING OF THE TENSOR PRODUCT OF POISSON ALGEBRAS

. In this paper, we study the Poisson cohomology ring of the tensor product of Poisson algebras. Explicitly, it is proved that the Pois- son cohomology ring of tensor product of two Poisson algebras is isomorphic to the tensor product of the respective Poisson cohomology ring of these two Poisson algebras as Gerstenhaber algebras.

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