Hi.
There is a really quick proof of the Nullstellensatz when the field is infinite (**edit : I meant uncountable**) (let's take $\mathbb{C}$ for example.)
It mainly uses the fact that $\mathbb{C}(x)$ is an extension of C of infinite and uncountable dimension.

I would like to know where (from who ? When ?) this idea came from ? I know that the well-known proof using entire rings and Noether normalisation came from Zariski, but I found nothing concerning this idea.

Thanks.