English

The Representation Dimension of a Class of Tame Algebras

Rings and Algebras 2010-07-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1006.2901,
  title  = {The Representation Dimension of a Class of Tame Algebras},
  author = {Ibrahim Assem and Flávio U. Coelho and Sonia Trepode},
  journal= {arXiv preprint arXiv:1006.2901},
  year   = {2010}
}