论文标题

Bihom-Novikov-Poisson代数的张量和扰动

Tensor products and perturbations of BiHom-Novikov-Poisson algebras

论文作者

Liu, Ling, Makhlouf, Abdenacer, Menini, Claudia, Panaite, Florin

论文摘要

我们研究了Bihom-Novikov-Poisson代数,它们是Novikov-Poisson代数和Hom-Novikov-Poisson代数的扭曲概括,并发现Bihom-Novikov-Poisson代数在张量和几种逆转下封闭。在Bihom-Novikov-Poisson代数会产生Bihom-Poisson代数的必要条件下给出了足够的条件。

We study BiHom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras and Hom-Novikov-Poisson algebras, and find that BiHom-Novikov-Poisson algebras are closed under tensor products and several kinds of perturbations. Necessary and sufficient conditions are given under which BiHom-Novikov-Poisson algebras give rise to BiHom-Poisson algebras.

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