On Locally Ιnvo-Regular Ring

Abstract

An associative ring with identity D claimed to be locally Invo- regular ( L.Ι.Reg.Rings) if , for any element ӻ in D , either ӻ  or 1- ӻ is Invo-regular in D , that is  ӻ = ӻ v ӻ  or  1- ӻ = (1- ӻ) v (1- ӻ) for some involution element v in D , these rings due to Danchev [5] . In this article several instances, and properties of L.Ι.Reg.Rings are introduced and invest gules the behavior of these properties , as well as certain relation between L.Ι.Reg.Rings and other rings are discussed.