special regular clean rings

In this paper we introduce the concepts of special regular clean elements and regular clean decomposition in a ring r. these concepts lead us to the notion of special regular clean ring. we prove that for a special regular clean element $a=e+r in r$ and unit $uin r$ then $au$ is a special regular clean if $u$ is an inner inverse of $e$. we establish that an abelian ring $r$ is a special regular clean ring if and only if the twisted power series ring $r[[x,sigma]]$ is a special regular clean ring. we also study various characterizations of special clean and special regular clean rings.