Tell me more ×
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.
up vote 4 down vote favorite
1

Suppose $k$ is a field and let $n > m$. Does there exist injective homomorphisms of the form:

$$ k [[x_1, x_2, \ldots, x_n]] \rightarrow k[[x_1, x_2, \ldots, x_m]]$$

share|improve this question
What is the second thing? Missed a $k$? – Rasmus Sep 30 '11 at 13:18
@Rasmus: Thanks. – Valeriya Sep 30 '11 at 13:24
What have you tried? Is this a homework question (it reads like one)? – Rasmus Sep 30 '11 at 13:35
no, it is from the "false beliefs" thread at MO. – Valeriya Sep 30 '11 at 13:52

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.