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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-9, author = {Robert Dry\l o}, title = {On the stable equivalence problem for k[x,y]}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {247-253}, zbl = {1227.13004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-9} }
Robert Dryło. On the stable equivalence problem for k[x,y]. Colloquium Mathematicae, Tome 122 (2011) pp. 247-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-9/