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math.RT2013★ 16 cited
Finite cycles of indecomposable modules
Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
We solve a long standing open problem concerning the structure of finite cycles in the category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the…
math.RT2013★ 3 cited
On the number of terms in the middle of almost split sequences over cycle-finite artin algebras
Piotr Malicki, José A. de la Peña, Andrzej Skowroński
We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.