most citedOn the correspondence between path algebras and generalized path algebras

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math.RA2010

The Representation Dimension of a Class of Tame Algebras

Ibrahim Assem, Flávio U. Coelho, Sonia Trepode

We prove that, if A is a strongly simply connected algebra of polynomial growth, then A is torsionless-finite. In particular, its representation dimension is at most three.