Shengyong Pan

collaborators

3 papers

math.RT2026

Cohen-Montgomery duality for bimodules and singular equivalences of Morita type

Hideto Asashiba, Shengyong Pan

Let $G$ be a group and $k$ a commutative ring. All categories and functors are assumed to be $k$ -linear. We define a $G$ -invariant bimodule $_{S} M_{R}$ over $G$ -categories $R…

math.RA2026

The Smith normal form of the Q-walk matrix of the Dynkin graph $A_{n}$

Jia yaning, Shengyong Pan

In this paper, we give an explicit formula for the rank of the $Q$ -walk matrix of the Dynkin graph $A_{n}$ . Moreover, we prove that its Smith normal form is $$ \mathrm{diag}\left( \u…

math.RT2025

Relative derived equivalences and relative Igusa-Todorov dimensions

Peizheng Guo, Shengyong Pan

Let $A$ be an Artin algebra and $F$ a non-zero subfunctor of $\Ext_A^{1}(-,-)$. In this paper, we characterize the relative $I ¨ $ -dimension of $A$ by the bi-functor $\Ext_F^1(-,-)$.…

Cohen-Montgomery duality for bimodules and singular equivalences of Morita type

The Smith normal form of the Q-walk matrix of the Dynkin graph An​

Relative derived equivalences and relative Igusa-Todorov dimensions

The Smith normal form of the Q-walk matrix of the Dynkin graph $A_{n}$