The Representation Dimension of a Class of Tame Algebras

Ibrahim Assem (1) , Flávio U. Coelho (2) , Sonia Trepode (3)

1 UdeS - Département de mathématiques [Sherbrooke]
2 IME - Instituto de Matemática e Estatística
3 Departamento de Matemática [Mar del Plata]

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.

Mots clés: representation dimension; multicoil algebras; torsionless-finite

Domaines: Anneaux et algèbres [math.RA]

Ibrahim Assem, Flávio U. Coelho, Sonia Trepode. The Representation Dimension of a Class of Tame Algebras. 2010. ⟨hal-00490856⟩