https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/124/2/87935/on-the-stable-equivalence-problem-for-k-x-y
On the stable equivalence problem for $k[x,y]$All
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...
on theequivalence problemk xstable