Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Di, Zhenxing"'
Given a Grothendieck opfibration $p: \mathcal{T} \to \mathcal{B}$, we describe a method to construct a Waldhausen category structure on the total category $\mathcal{T}$ via combining Waldhausen category structures on the fibers $\mathcal{T}_A$ for $A
Externí odkaz:
http://arxiv.org/abs/2407.15607
In this paper the concept of compatible weak factorization systems in general categories is introduced as a counterpart of compatible complete cotorsion pairs in abelian categories. We describe a method to construct model structures on general catego
Externí odkaz:
http://arxiv.org/abs/2405.00312
In this paper we consider representations of certain combinatorial categories, including the poset $\D$ of positive integers and division, the Young lattice $\mathscr{Y}$ of partitions of finite sets, the opposite category of the orbit category $\mat
Externí odkaz:
http://arxiv.org/abs/2404.15125
This is the second one of the serial papers studying representations over diagrams of abelian categories. We show that under certain conditions a compatible family of abelian model categories indexed by a small category can amalgamate to an abelian m
Externí odkaz:
http://arxiv.org/abs/2308.03067
We construct a flat model structure on the category $_{\mathcal{Q},R}{\mathsf{Mod}}$ of additive functors from a small preadditive category $\mathcal{Q}$ satisfying certain conditions to the module category $_{R}{\mathsf{Mod}}$ over an associative ri
Externí odkaz:
http://arxiv.org/abs/2211.10945
Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categories, representations of species, etc. In this series of papers we st
Externí odkaz:
http://arxiv.org/abs/2210.08558
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
The main goal of this paper is to establish close relations among sheaves of modules on atomic sites, representations of categories, and discrete representations of topological groups. We characterize sheaves of modules on atomic sites as saturated r
Externí odkaz:
http://arxiv.org/abs/2108.13600
This paper focuses on a question raised by Holm and J{\o}rgensen, who asked if the induced cotorsion pairs $(\Phi({\sf X}),\Phi({\sf X})^{\perp})$ and $(^{\perp}\Psi({\sf Y}),\Psi({\sf Y}))$ in $\mathrm{Rep}(Q,{\sf{A}})$ -- the category of all $\sf{A
Externí odkaz:
http://arxiv.org/abs/2102.05826
We study Gorenstein flat objects in the category ${\sf Rep}(Q,R)$ of representations of a left rooted quiver $Q$ with values in ${\sf Mod}(R)$, the category of all left $R$-modules, where $R$ is an arbitrary associative ring. We show that a represent
Externí odkaz:
http://arxiv.org/abs/2006.16468