H. Chen

activity

20142019

most citedRings over which every matrix is the sum of a tripotent and a nilpotent

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2019

Representation of the g-Drazin inverse in a Banach algebra

H Chen, M S Abdolyousefi

Let $A$ be a complex Banach algebra. An element $a \in A$ has g-Drazin inverse if there exists $b \in A$ such that $$b=bab, ab=ba, a-a^2b\in \mathcal{A}…

math.RA2017★ 3 cited

Rings over which every matrix is the sum of a tripotent and a nilpotent

M Sheibani, H Chen

A ring $R$ is trinil clean if every element in $R$ is the sum of a tripotent and a nilpotent. If $R$ is a 2-primal strongly 2-nil-clean ring, we prove that $M_{n} (R)$ is trinil clean…

math.RA2015

Feckly Adequate Conditions and Elementary Matrix Reduction

H. Chen, M. Sheibani

We present some new conditions for a B $e ˊ$ zout ring to be an elementary divisor ring. We prove, in this note, that a B $e ˊ$ zout ring $R$ is feckly zero-adequate if and…

math.RA2014

Uniquely weakly nil-clean conditions on zero-divisors

H. Chen, M. Sheibani

An element in a ring $R$ is called uniquely weakly nil-clean if every element in $R$ can be uniquely written as a sum or a difference of a nilpotent and an idempotent in the sense…