标题： 可容许的Hom-Novikov-Poisson代数和Hom-Gelfand-Dorfman色Hom-代数 显示英文标题

标题： Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras

摘要： 色Hom-代数的主要特征在于定义结构的恒等式由偶线性映射扭曲。本文的目的是引入可容许Hom-Novikov-Poisson色Hom-代数和Hom-Gelfand-Dorfman色Hom-代数的一些构造。它们的双模和匹配对被定义，并给出相关性质和定理。此外，证明了Hom-Novikov-Poisson色Hom-代数与Hom-Gelfand-Dorfman色Hom-代数之间的联系。进一步地，我们证明了可容许Hom-Novikov-Poisson色Hom-代数在张量积下是封闭的。 显示英文摘要

摘要： The main feature of color Hom-algebras is that the identities defining the structures are twisted by even linear maps. The purpose of this paper is to introduce and give some constructions of admissible Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras. Their bimodules and matched pairs are defined and the relevant properties and theorems are given. Also, the connections between Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras is proved. Furthermore, we show that the class of admissible Hom-Novikov-Poisson color Hom-algebras is closed under tensor product.