A generalization of nil-clean rings
Abstract
The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.
Keywords:
idempotents / nilpotent element / group ringSource:
Miskolc Mathematical Notes, 2018, 19, 2, 969-981Funding / projects:
- Analysis and algebra with applications (RS-174032)