## Linear polygraphs and Koszulity of algebras

- YVES GUIRAUD, ERIC HOFFBECK, PHILIPPE MALBOS
- 2014

1 Excerpt

- Published 2010

Let G be an associative monomial k-algebra. If G is assumed to be finitely presented, then either G contains a free subalgebra on two monomials or else G has polynomial growth. If instead G is assumed to have finite global dimension, then either G contains a free subalgebra or else G has a finite presentation and polynomial growth. Also, a graded Hopf algebra with generators in degree one and relations in degree two contains a free Hopf subalgebra if the number of relations is small enough.

@inproceedings{Anick2010OnMA,
title={On Monomial Algebras of Finite Global Dimension},
author={David J Anick},
year={2010}
}