I asked the following question at < http://math.stackexchange.com/questions/1508168/is-max-r-a-hausdorff-space >, but I pose it here for any help.

Recall a space is totally disconnected if the only connected subsets are singletons (one-point subsets). Now let $R $ be a commutative ring with identity such that $\operatorname{Max}(R)$ is a totally disconnected space, in the sense of the Zariski topology. I want to know if $\operatorname{Max}(R)$ Hausdorff in this case?

Thanks for any help.