3 citations · 5 across the 5 of their papers we have counts for
6 papers
Functors from the infinitary model theory of modules and the Auslander-Gruson-Jensen 2-functor
Samuel Dean
We define the notion of a -definable category, a generalisation of the notion of definable category from the model theory of modules. Let be a -accessible additive…
The defect recollement, the MacPherson-Vilonen construction, and pp formulas
Samuel Dean
For any abelian category , Auslander constructed a localisation called the defect, which is the l…
Characterisations of purity in a locally finitely presented additive category: A short functorial proof
Samuel Dean
In this expository article, we will give an efficient functorial proof of the equivalence of various characterisations of purity in a finitely accessible additive category $\mathca…
Derived Recollements and Generalised AR Formulas
Samuel Dean, Jeremy Russell
The Defect Recollement, Restriction Recollement, Auslander-Gruson-Jensen Recollement, and others, are shown to be instances of a general construction using derived functors and met…
The Auslander-Gruson-Jensen Recollement
Jeremy Russell, Samuel Dean
For any ring , the Auslander-Gruson-Jensen functor is the exact contravariant functor $$\textsf{D}_A:\textsf{fp}(\textsf{Mod}(R),\textsf{Ab})\longrightarrow(\textsf{mod}(R^{op})…
Duality and contravariant functors in the representation theory of artin algebras
Samuel Dean
We know that the model theory of modules leads to a way of obtaining definable categories of modules over a ring as the kernels of certain functors $(R\textbf{-Mod})^{\text{op}…