15 citations · 21 across the 5 of their papers we have counts for
7 papers
Injective stabilization of additive functors. III. Asymptotic stabilization of the tensor product
Alex Martsinkovsky, Jeremy Russell
The injective stabilization of the tensor product is subjected to an iterative procedure that utilizes its bifunctor property. The limit of this procedure, called the asymptotic st…
Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor
Alex Martsinkovsky, Jeremy Russell
The formalism of injective stabilization of additive functors is used to define a new notion of the torsion submodule of a module. It applies to arbitrary modules over arbitrary ri…
Injective stabilization of additive functors. I. Preliminaries
Alex Martsinkovsky, Jeremy Russell
This paper is the first one in a series of three dealing with the concept of injective stabilization of the tensor product and its applications. Its primary goal is to collect know…
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 $$\textsf{D}_A:\textsf{fp}(\textsf{Mod}(R),\textsf{Ab})\longrightarrow(\textsf{mod}(R^{op})…
Horizontal Linkage of Coherent Functors
Jeremy Russell
The satellite endofunctors are used to extend the definition of linkage of ideals to the linkage of totally finitely presented functors. The new notion for linkage works over a lar…
Applications of the Defect of a Finitely Presented Functor
Jeremy Russell
For an abelian category , the defect sequence $$0\longrightarrow F_0\longrightarrow F\oversetφ{\longrightarrow} \big(w(F),\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm}…