SOME KIND OF CLEAN RINGS

Let R be an associative ring with identity. Call R clean if every element of R is the sum of an idempotent and a unit. So far many types of clean rings is introduced such that it can be mentioned semiclean rings, n ¡ clean rings, g(x) ¡ clean rings and G ¡ clean rings. In this article we study f ¡ clean rings and present f ¡ double clean rings as generalization of the f ¡ clean ring , and we express the properties of it.