Consider the ring $R=\mathbb{C}[x,y]/(x^{3}-y^{3})$ and let $S$ be the set of all non-zero divisors of $R$. How to find $S^{-1}A$?
I guess the idea is to find a ring which is isomorphic to (or perhaps that contains a subring isomorphic to $\mathbb{C}[x,y]/(x^{3}-y^{3})$) but not sure what is one. Can you please help?