50 citations
- The College of New JerseyUS9 papers
- University of FloridaUS3 papers
- École Polytechnique Fédérale de LausanneCH2 papers
- National High Magnetic Field LaboratoryUS2 papers
- Austral University of ChileCL1 paper
- Brookhaven National LaboratoryUS1 paper
- Center for High Pressure Science and Technology Advanced ResearchCN1 paper
- Center for High Pressure Science & Technology Advanced ResearchCN1 paper
- Chinese Academy of SciencesCN1 paper
- Comisión Nacional de Energía AtómicaAR1 paper
- Dartmouth CollegeUS1 paper
- Dartmouth HospitalGB1 paper
6 papers · 1 filter
Canonical resolutions in hereditary abelian model categories
James Gillespie
Each object of any abelian model category has a canonical resolution as described in this article. When the model structure is hereditary we show how morphism sets in the associate…
The projective stable category of a coherent scheme
Sergio Estrada, James Gillespie
We define the projective stable category of a coherent scheme. It is the homotopy category of an abelian model structure on the category of unbounded chain complexes of quasi-coher…
Absolutely Clean, Level, and Gorenstein AC-Injective Complexes
Daniel Bravo, James Gillespie
Absolutely clean and level -modules were introduced in [BGH13] and used to show how Gorenstein homological algebra can be extended to an arbitrary ring . This led to the noti…
Exact model structures and recollements
James Gillespie
We show how to obtain recollements of triangulated categories using the theory of exact model structures. After noting how the theory relates to well-known notions in the simplest…
Model Structures on Exact Categories
James Gillespie
We define model structures on exact categories which we call exact model structures. We look at the relationship between these model structures and cotorsion pairs on the exact cat…
Model structures on modules over Ding-Chen rings
James Gillespie
An -FC ring is a left and right coherent ring whose left and right self FP-injective dimension is . The work of Ding and Chen in \cite{ding and chen 93} and \cite{ding and ch…