A twisted generalization of Novikov-Poisson algebras

A twisted generalization of Novikov-Poisson algebras
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DOI：
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发表时间：
2010-10
期刊：
arXiv: Rings and Algebras
影响因子：
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通讯作者：
Donald Yau
Donald Yau
中科院分区：
其他
文献类型：
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作者：
Donald Yau

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研究了Novikov-Poisson代数的扭曲推广--Hom-Novikov-Poisson代数。证明了Hom-Novikov-Poisson代数在张量积和几种扭下是闭的。给出了Hom-Novikov-Poisson代数生成Hom-Poisson代数的充要条件。
Hom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras, are studied. Hom-Novikov-Poisson algebras are shown to be closed under tensor products and several kinds of twistings. Necessary and sufficient conditions are given under which Hom-Novikov-Poisson algebras give rise to Hom-Poisson algebras.