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math.RT2016
Modules over cluster-tilted algebras that do not lie on local slices
Ibrahim Assem, Ralf Schiffler, Khrystyna Serhiyenko
We characterize the indecomposable transjective modules over an arbitrary cluster-tilted algebra that do not lie on a local slice, and we provide a sharp upper bound for the number…
math.RT2016
Cluster-tilted and quasi-tilted algebras
Ibrahim Assem, Ralf Schiffler, Khrystyna Serhiyenko
In this paper, we prove that relation-extensions of quasi-tilted algebras are 2-Calabi-Yau tilted. With the objective of describing the module category of a cluster-tilted algebra…
math.RT2016
Injective Presentations of Induced Modules over Cluster-Tilted Algebras
Ralf Schiffler, Khrystyna Serhiyenko
Every cluster-tilted algebra is the relation extension of a tilted algebra . A -module is called induced if it is of the form $M\otimes_C…