3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.RA2023★ 1 cited
Rings whose Nil-Clean and Clean Elements are Uniquely Nil-Clean
Jian Cui, Peter Danchev, Danya-Jin
We consider and study those rings in which each nil-clean or clean element is uniquely nil-clean. We establish that, for abelian rings, these rings have a satisfactory description…
math.RA2022★ 3 cited
On Strongly pi-Regular Rings with Involution
Jian Cui, Peter Danchev
Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra…
math.RA2011
Two questions of L. Va on *-clean rings
Jianlong Chen, Jian Cui
A ring with an involution * is called (strongly) *-clean if every element of is the sum of a unit and a projection (that commute). All *-clean rings are clean. Va${\rm \che…