论文标题
修改的rota-baxter代数的同谋研究
A cohomological study of modified Rota-Baxter algebras
论文作者
论文摘要
修改后的rota-baxter代数是配备满足经过修改的杨巴克斯特方程的操作员的代数。在本文中，我们定义了在合适的双模块中具有系数的修饰的旋转式代数代数的共同体。我们将改良的Rota-Baxter代数的共同体与已知的Rota-Baxter代数的共同体学理论联系起来。作为我们的共同体的应用，我们研究了改良的rota-baxter代数的形式的单参数变形和阿贝尔扩展。
A modified Rota-Baxter algebra is an algebra equipped with an operator that satisfies the modified Yang-Baxter equation. In this paper, we define the cohomology of a modified Rota-Baxter algebra with coefficients in a suitable bimodule. We relate our cohomology of a modified Rota-Baxter algebra with the known cohomology theory of a Rota-Baxter algebra. As applications of our cohomology, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter algebras.
