论文标题
Bihom-Poisson颜色代数
BiHom-Poisson color algebras
论文作者
论文摘要
本文的目的是引入Bihom-Poisson颜色代数，并使用一些特定的地图（例如形态学）提供各种结构。我们介绍了Bihom-Poisson颜色代数的平均构件和中心元素，并指出Bihom-Poisson颜色代数在平均质子和质量元素下关闭。我们还表明，任何常规的BIHOM缔合颜色代数都会通过换向器支架导致Bihom-Poisson颜色代数。然后，我们证明任何Bihom-Poisson颜色代数以及Rota-Baxter操作员或乘数都会使另一个Bihom-Poisson颜色代数升高。接下来，我们表明任何BIHOM缔合颜色代数和任何Bihom-Poisson颜色代数的张量产品也是Bihom- Poisson颜色代数
The goal of this paper is to introduce BiHom-Poisson color algebras and give various constructions by using some specific maps such as morphisms. We introduce averaging operator and element of centroid for BiHom-Poisson color algebras and point out that BiHom-Poisson color algebras are closed under averaging operators and elements of centroid. We also show that any regular BiHom-associative color algebra leads to BiHom-Poisson color algebra via the commutator bracket. Then we prove that any BiHom-Poisson color algebra together with Rota-Baxter operator or multiplier give rises to another BiHom-Poisson color algebra. Next, we show that tensor product of any BiHom-associative color algebra and any BiHom-Poisson color algebra is also a BiHom- Poisson color algebra
