Tensor products and perturbations of BiHom-Novikov-Poisson algebras

Abstract

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.

arXiv comment21 pages

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Cited by in corpus (2)

• Nonhomogeneous associative Yang-Baxter equations
• (Non-BiHom-Commutative) BiHom-Poisson algebras