论文标题
具有较高推导的代数的扩展和变形
Extensions and deformations of algebras with higher derivations
论文作者
论文摘要
对联想代数的较高派生概括了高阶衍生物。我们称为由代数组成的元组和一个由Asshder对上的较高派生。我们定义了与代表中系数的Asshder对的共同体。接下来，我们研究中央扩展，Asshder对的Abelian扩展，并将它们与第二个同胞组相关联，并具有适当的系数。还考虑了由自我系数的共同学控制的Asshder对的变形。
Higher derivations on an associative algebra generalizes higher order derivatives. We call a tuple consisting of an algebra and a higher derivation on it by an AssHDer pair. We define a cohomology for AssHDer pairs with coefficients in a representation. Next, we study central extensions, abelian extensions of AssHDer pairs and relate them to the second cohomology group with appropriate coefficients. Deformations of AssHDer pairs are also considered which are governed by the cohomology with self coefficient.
