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math.RT2016★ 2 cited
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…
math.RT2016★ 3 cited
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})…
math.RT2016
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}…