关于Smash积的正则性

On the Regularity of Smash Product

设R是群G分次环；本文通过R与G的Smash积R＃C*的矩阵表示，主要证明了R＃G*是VonNeumman正则当且仅当R为gr─正则。

Let R be a ring graded by any group G,In this paper,by representation of matrix for the Smash product R#G*. We mainly proved that R#G* be a Von Neumann regular ring if and only if R be a gr-regular ring