Hochschild公式的推广

GENERALIZED HOCHSCHILD DERIVATION FORMULAS

Hochschild曾证明了如下公式:如果F是特征p的域,D是F的一个非零导子,a是F中的任一元素,则成立本文将这一公式推广到特征为p的交换环上,进一步推广到n个导子的更一般的情况。

Hochschild showed the famous formula,i, e. suppose F is a field .of characteristic p and , if D is a non-zero derivation on F,then In this paper we shall show that the formula holds for commutative rings of characteristic p. Moreover, We obtain a generalized formula of n derivations.