On the stable equivalence problem for $k[x,y]$
Volume 124 / 2011
Colloquium Mathematicum 124 (2011), 247-253
MSC: 13A50, 14R10, 14R20.
DOI: 10.4064/cm124-2-9
Abstract
L. Makar-Limanov, P. van Rossum, V. Shpilrain and J.-T. Yu solved the stable equivalence problem for the polynomial ring $k[x,y]$ when $k$ is a field of characteristic 0. In this note we give an affirmative solution for an arbitrary field $k$.