Note on Strongly Nil Clean Elements in Rings
- 31 Downloads
Let R be an associative unital ring and let a ∈ R be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean rings. Also, using this technique many previous proofs can be significantly shortened. Some shorter proofs concerning nil clean elements in rings in general, and in matrix rings in particular, are presented, together with some generalizations of these results.
Keywordsnilpotent element nil clean element
MSC 201013B25 15B33 16U99
Unable to display preview. Download preview PDF.