AU - Ashrafi, Nahid AU - Ahmadi, Zahra TI - WEAKLY g(x)-CLEAN RINGS PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 7 VI - 2 IP - 2 4099 - http://ijmsi.ir/article-1-353-en.html 4100 - http://ijmsi.ir/article-1-353-en.pdf SO - IJMSI 2 ABĀ  - A ring $R$ with identity is called ``clean'' if $~$for every element $ain R$, there exist an idempotent $e$ and a unit $u$ in $R$ such that $a=u+e$. Let $C(R)$ denote the center of a ring $R$ and $g(x)$ be a polynomial in $C(R)[x]$. An element $rin R$ is called ``g(x)-clean'' if $r=u+s$ where $g(s)=0$ and $u$ is a unit of $R$ and, $R$ is $g(x)$-clean if every element is $g(x)$-clean. In this paper we define a ring to be weakly $g(x)$-clean if each element of $R$ can be written as either the sum or difference of a unit and a root of $g(x)$. CP - IRAN IN - LG - eng PB - IJMSI PG - 83 PT - Research paper YR - 2012