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math.RT2019
Cycle-finite modules over artin algebras
Piotr Malicki, Andrzej Skowroński
We describe the representation theory of finitely generated indecomposable modules over artin algebras which do not lie on cycles of indecomposable modules involving homomorphisms…
math.RT2018
The structure and homological properties of generalized standard Auslander-Reiten components
Piotr Malicki, Andrzej Skowroński
We describe the structure and homological properties of arbitrary generalized standard Auslander-Reiten components of artin algebras. In particular, we prove that for all but finit…