On isoperimetric profiles of algebras
arXiv:0808.2219 · doi:10.1016/j.jalgebra.2008.12.022
Abstract
Isoperimetric profile in algebras was first introduced by Gromov. We study the behavior of the isoperimetric profile under various ring theoretic constructions and its relation with the Gelfand-Kirillov dimension.
final version, to appear in J. Algebra