Qian-Qian Zhou

collaborators

3 papers

math.AC2026

Change-of-Rings Theorems for the Small Finitistic Dimension

Tao Xiong, Younes El Haddaoui, Hwankoo Kim +1

In this paper, we study the small finitistic dimension of a commutative ring from the viewpoint of finitistic flat homological algebra. Using the class $F P R (R)$ of modules admittin…

math.CO2025

A lemma on a finite union-closed family of finite sets and its applications

Ze-Chun Hu, Yi-Ding Shi, Qian-Qian Zhou

Suppose that $F$ is a finite union-closed family of sets with $\cup_{A \in F} A = {1, 2, \dots, m}$ and $m \geq 2$ . Fix $i \in {1, 2, \dots, m}$ and denote $\mathscr{…

math.CO2025

Set families: restricted distances via restricted intersections

Zichao Dong, Jun Gao, Hong Liu +2

Denote by $f_{D} (n)$ the maximum size of a set family $F$ on $[n] = {1, \dots, n}$ with distance set $D$ . That is, $∣ A △ B ∣ \in D$ holds for every pair of di…