How can I extend the length of the arrows here, and I want to have the line in the middle of the page
\begin{center}does not work
and why do I have to write RHS of the arrows in text brackets ?
Ideals in R $\overset{V}{\underset{I}\rightleftarrows}$ \text{algebraic sets in K^n}

\text, butK^nis not valid out of math mode. – T. Verron Nov 08 '16 at 17:25