非零特征域上的导代数

Derivative algebra in the field of nonzero characteristic

讨论了非零特征域上的导代数，给出了它的基底、中心及Ｎｏｅｔｈｅｒ性质，并证明它是Ｗｅｙｌ代数的商代数，进而得到它的分次代数结构．

We discuss the derivative algebra in the field of nonzero characteristic. Its basis, center and Noetherian properties are given. Furthermore we prove that this derivative algebra is the quotient of Weyl algebra, and we obtain the structure of its graded algebra.