GPP环(英文)

GPP RING

定义GPP环 :环R称为左GPP环若对任意a∈R ,都存在n使得Ran 是投射左R模 .我们指出GPP环和π

In this paper we define GPP ring as follows: A ring R is called a left GPP ring if for every a∈R, there exists a positive integer n such that Ra n is a profective left R module. We show some relations between GPP ring and π regular ring and give a characterization of GPP ring.