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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.RT2018
Orders of bounded and strongly unbounded lattice type
Fahimeh Sadat Fotouhi, Alex Martsinkovsky, Shokrollah Salarian
Brauer and Thrall conjectured that a finite-dimensional algebra over a field of bounded representation type is actually of finite representation type and a finite-dimensional algeb…