Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584392 | Journal of Algebra | 2015 | 13 Pages |
Abstract
We define the concept of a weakly nil clean commutative ring which generalizes Diesel's [11] notion of a nil clean commutative ring, and investigate this class of rings. We obtain some fundamental properties. In particular, it is proved that these rings are clean. We also consider the questions of when the Nagata ring as well as the group ring is weakly nil clean.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Peter V. Danchev, W.Wm. McGovern,