X.-F. Mao

collaborators

4 papers

math.RA2025

Quillen-Suslin Theorem for connected cochain DG algebras

Xuefeng Mao, Biyan Zhu

Let $A$ be a connected cochain DG algebra and $P$ a DG $A$ -module such that its underlying graded module $P^{#}$ is a finitely generated $A^{#}$ -mod…

math.RA2025

Derived equivalences of DG algebras are not governed by their cohomology rings

X. -F. Mao, R. -K. Lu

Let $A$ and $B$ be two connected cochain DG algebra such that $A^{#} = B^{#}$ and the cohomology rings $H (A)$ and $H (B)$ …

math.RA2024

Homological properties of homologically smooth connected cochain DGAs

X. -F. Mao

Assume that $A$ is a connected cochain DG algebra. We show that $A$ is homologically smooth and Gorenstein if and only if its $Ext$ -algebra $H(R\Hom_{\…

math.RA2024

Homologically smooth connected cochain DGAs

X. -F. Mao

Let $A$ be a connected cochain DG algebra such that $H (A)$ is a Noetherian graded algebra. We give some criteria for $A$ to be homologically smooth in…