Invo-regular clean rings [Articol]

Abstract

Let R be an associative ring with identity. In this paper, we introduce the notion of invo-regular clean rings where every element r can be written as r = s + e, where s 2 InvR(R) and e 2 Id(R). We study various properties of invo-regular clean rings. It is proved that, It is proved that, if R is a ring such that 2 2 U(R), then RG is invo-regular clean if and only if the group ring R is invo-regular clean.