Aixiang Fang

collaborators

2 papers

math.RA2021

The group invertibility of matrices over Bézout domains

Dayong Liu, Aixiang Fang

Let $R$ be a Bézout domain, and let $A, B, C \in R^{n \times n}$ with $A B A = A C A$ . If $A B$ and $C A$ are group invertible, we prove that $A B$ is similar to $C A$ . Moreover, we have $(AB)^{…

math.RA2020

The Generalized Flanders' Theorem in Unit-regular Rings

Dayong Liu, Aixiang Fang

Let R be a unit-regular ring, and let a,b,c in R satisfy aba=aca. If ac and ba are group invertible, we prove that ac is similar to ba. Furthermore, if ac and ba are Drazin inverti…