Huanyin Chen

most citedMatrix nil-clean factorizations over abelian rings

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.RA2015

Elementary Matrix Reduction Over Certain Rings

Marjan Sheibani Abdolyousefi, Huanyin Chen

We explore elementary matrix reduction over certain rings characterized by their localizations. Let $R$ be a locally stable ring, we prove that $R$ is an elementary divisor ring if…

math.RA2014

Extensions of square stable range one

Huanyin Chen, Marjan Sheibani

An ideal $I$ of a ring $R$ is square stable if $a R + b R = R$ with $a \in I$ and $b \in R$ implies that $a^{2} + b y$ is invertible in $I$ for some $y \in I$ . We prove that an exchange ideal $I…

math.RA2014★ 1 cited

Separative exchange rings in which 2 is invertible

Huanyin Chen

An exchange ring $R$ is separative provided that for all finitely generated projective right $R$ -modules $A$ and $B$ , $A\oplus A\cong A\oplus B\cong B\oplus B\Longrightarrow A\cong…

math.RA2014

Internal Cancellation over SSP Rings

Huanyin Chen

A ring is SSP if the sum of two direct summands is a direct summand. A ring has internal cancellation if every its (von Neumann) regular elements are unit-regular. We show that in…

math.RA2014★ 2 cited

Matrix nil-clean factorizations over abelian rings

Huanyin Chen

A ring $R$ is nil-clean if every element in $R$ is the sum of an idempotent and a nilpotent. A ring $R$ is abelian if every idempotent is central. We prove that if $R$ is abelian t…