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math.RT2024
Deconstructing Auslander's formulas, I. Fundamental sequences associated with additive functors
Alex Martsinkovsky
For any additive functor from modules (or, more generally, from an abelian category with enough projectives or injectives), we construct long sequences tying up together the derive…
math.RT2024
The defect, the Malgrange functor, and linear control systems
Alex Martsinkovsky
The notion of defect of a finitely presented functor on a module category is extended to arbitrary additive functors. The new defect and the contravariant Yoneda embedding form a r…