Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What does it mean for a subset of $\mathbb{C}[x_1,\dots,x_n]$ to be algebraically independent?

Particularly I'd like to know the formulation thereof which concerns the kernel of a surjective ring isomorphism.

share|cite|improve this question
I don't know why this was downvoted, but since the guy left no reason and it doesn't seems like a bad question I upvote it. – Belgi May 8 '12 at 14:46
Let $\{f_i\}$ be a family of elements. You can define $\mathbf C[\{y_i\}] \to \mathbf C[x_1, \ldots, x_n]$ by sending $y_i \mapsto f_i$. What can you say about the kernel? – Dylan Moreland May 8 '12 at 14:50

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.