Title of article :
On w-Neat Rings
Author/Authors :
Rashedi ، Fatemeh Department of Mathematics - Technical and Vocational University (TVU)
Abstract :
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 $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in$ U$(R) $ and $ e\in$ 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.
Keywords :
Clean ring , Cleaned poorly ring , w , Neat ring
Journal title :
Mathematics Interdisciplinary Research
Journal title :
Mathematics Interdisciplinary Research