1 citations · 2 across the 11 of their papers we have counts for
12 papers
Recollements of derived categories from -term big tilting complexes
Shengyong Pan, Huabo Xu
Let be a ring, let be a finite-term big tilting complex over , and choose a bounded projective representative $\cpx{P}$ of . Put $B=\End_{\D{A}}(\cpx{P})$…
Relative tilting, interlacing categories and rational Dyck posets
Shengyong Pan
We construct an explicit tilting equivalence between the incidence algebra of every rational Dyck staircase and a canonical idempotent corner of a higher Auslander algebra of type~…
Characterizations of standard derived equivalences of diagrams of dg categories and their gluings
Hideto Asashiba, Shengyong Pan
A diagram consisting of differential graded (dg for short) categories and dg functors is formulated in this paper as a colax functor from a small category to the 2-category…
Tilting complexes for group graded self-injective algebras
Andrei Marcus, Shengyong Pan
We construct derived equivalences between group graded self-injective algebras, starting from equivalences between their 1-components, obtained via a construction of J. Rickard and…
Stable equivalences of Morita type for -Beilinson-Green algebras
Shengyong Pan
In this paper, we present a method to construct new stable equivalences of Morita type. Suppose that a stable equivalence of Morita type between finite dimensional algebras and…
Symmetric approximation sequences, Beilinson-Green algebras and derived equivalences
Shengyong Pan
In this paper, we will consider a class of locally -Beilinson-Green algebras, where is an infinite admissible set of the integers, and show that symmetric approximation sequ…
Cohomology rings, differential graded algebras and derived equivalences
Shengyong Pan, Zhen Peng, Jie Zhang
In this paper, we will consider derived equivalences for differential graded endomorphism algebras by Keller's approaches. First we construct derived equivalences of differential g…
Stable functors of derived equivalences and Gorenstein projective modules
Wei Hu, Shengyong Pan
From certain triangle functors, called non-negative functors, between the bounded derived categories of abelian categories with enough projective objects, we introduce their stable…
Generalized Auslander-Reiten conjecture and derived equivalences
Shengyong Pan
In this note, we prove that the generalized Auslander-Reiten conjecture is preserved under derived equivalences between Artin algebras.
Inductions and restrictions for stable equivalences of Morita type
Hongxing Chen, Shengyong Pan, Changchang Xi
In this paper, we present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type. Suppose that a stable equivalence of Morita type b…
Derived equivalences for Cohen-Macaulay Auslander algebras
Shengyong Pan
Let and be Gorenstein Artin algebras of Cohen-Macaulay finite type. We prove that, if and are derived equivalent, then their Cohen-Macaulay Auslander algebras are a…
Transfer of stable equivalences of Morita type
Shengyong Pan, Changchang Xi
Let and be finite-dimensional -algebras over a field such that $A/\rad(A)$ and $B/\rad(B)$ are separable. In this note, we consider how to transfer a stable equivale…