环及Near-环中的微商

Derivations on Near-rings and Rings

本文首先考虑了near-环中的一个交换性定理,然后利用Leibniz公式讨论了根在微商下的不变性及幂零、诣零微商,最后作为特例,给出在结合环中有关的几个新结果。

At first, we consider one theorem about commutativity in a near-ring, and then we discuss invariant property of radical under derivation and nil potent derivation, nilpotent derivation. As a special example, we have obtained some new theorems in associative rings.