Yu-Zhe Liu

collaborators

9 papers

math.FA2026

Module-valued ordinary differential equations and structure of solution spaces

Shengda Liu, Yu-Zhe Liu, Keyu Tao

We define and study ordinary differential equations (ODEs) for functions valued in a Banach module $V$ over a finite-dimensional $k$ -algebra $I^$ by using the tensor of…

math.RT2026

Igusa-Todorov properties of recollements of abelian categories

Peiru Yang, Yajun Ma, Yu-Zhe Liu

In this paper, we investigate the behavior of Igusa-Todorov properties under recollements of abelian categories. In particular, we study how the Igusa-Todorov distances of the cate…

math.CT2026

Three homological invariants under cleft extensions

Yajun Ma, Junling Zheng, Yu-Zhe Liu

In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morit…

math.RT2025

Normed representations of weight quivers

Yu-Zhe Liu

Let $A$ and $B$ be two tensor rings given by weight quivers. We introduce norms for tensor rings and $(A, B)$ -bimodules, and define an important category $A_{I ¨}^{p} $ in this…

math.RT2025

Some functors preserving exceptionality

Dajun Liu, Hanpeng Gao, Yu-Zhe Liu

We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions an…

math.RT2025

On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types

Mengdie Zhang, Yu-Zhe Liu, Chao Zhang

Let $A$ be a gentle algebra, and $B$ and $C$ be its BD-gentle algebra and CM-Auslander algebra, respectively. In this paper, we show that the representation-finiteness of $A$ , $B$ …