Shengyong Pan

activity

20142025

collaborators

4 papers

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 $ϕ$ -dimension of $A$ by the bi-functor $\Ext_F^1(-,-)$.…

math.RA2024

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.RT2024

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.RT2014

Relative derived equivalences and relative homological dimensions

Shengyong Pan

Let $A$ be a small abelian category. For a closed subbifunctor $F$ of $\Ext_{\mathscr{A}}^{1}(-,-)$, Buan has generalized the construction of the Verdier's quotient categ…

Relative derived equivalences and relative Igusa-Todorov dimensions

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

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

Relative derived equivalences and relative homological dimensions

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