2 problems

Let $A$ be a ring of characteristic zero, and let $f \in A^{[n]}$. Stable coordinate conjecture. If there is some $m>0$ such that $f$ is a coordinate in $A^{[n+m]}$, then $f$ is a…

Let $A$ be a commutative ring with one, let $A^{[n]}$ denote a polynomial ring in $n$ variables over $A$, and let $f\in A^{[n]}$. A polynomial $f$ is a stable coordinate if it is a…