From the 1 of 8 linked papers with an AI index.
8 papers
Transfer of abelian model structures to equivariant categories and homotopy squares
Zhenxing Di, Liping Li, Li Liang +2
Let be a finite group acting on a Grothendieck category with enough projectives, such that is invertible in . We prove a general lifting theore…
Flat models for Q-shaped derived categories via PGF objects
Zhenxing Di, Liping Li, Li Liang +1
We develop a unified approach, based on projectively coresolved Gorenstein flat (PGF) objects, for constructing flat model structures on diagram categories. Specifically, we show t…
Homomorphisms between standard modules of generalized Reedy categories
Liping Li
The paper develops a representation‑theoretic framework for generalized Reedy categories by studying homomorphisms between their standard modules, reducing many constructions to li…
Representations of categories of finite relational structures and associated endomorphism monoids
Liping Li
We develop a unified representation theory for the categories of finite subsets and relation-preserving maps of highly homogeneous relational structures classified by Cameron. For…
Representations of generalized linear Reedy categories and abelian model structures
Zhenxing Di, Liping Li, Li Liang
In this paper we consider representations of generalized -linear Reedy categories , a common generalization of -linear Reedy categories introduced by…
A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories
Zhenxing Di, Liping Li, Li Liang
We prove that every Grothendieck topology induces a hereditary torsion pair in the category of presheaves of modules on a ringed site, and obtain a homological characterization of…