6 papers · 1 filter
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…
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…
Representations of -type combinatorial categories
Zhenxing Di, Liping Li, Li Liang
In this paper we consider representations of certain combinatorial categories, including the poset $\D$ of positive integers and division, the Young lattice of partit…
Constructions of Waldhausen categories via Grothendieck opfibrations
Zhenxing Di, Liping Li, Li Liang
Given a Grothendieck opfibration , we describe a method to construct a Waldhausen category structure on the total category via combini…