W-neat rings

‎‎In this paper‎, ‎we offer a new generalization of the neat ring that is called a w-neat ring‎. ##A ring $ R $ is said to be weakly clean if every ‎$ rin R $‎ can be written as ‎$ r=u+e $ or ‎$ r=u-e $ where ‎$ uin U(R) $‎ and ‎$ ein Id (R) $‎‎. We define a w-neat ring to be one for which every proper homomorphic image is weakly clean. ‎##We obtain some properties of w-neat rings‎.