Take the 2-minute tour ×
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.

Suppose I have an ideal $I = (r, s, t)$. What operations can I apply to the $r$, $s$, and $t$, so that I get an ideal equal to $I$? For example, $(r, s, t) = (r - s, s, t)$. What are the other ones?

share|improve this question

1 Answer 1

up vote 3 down vote accepted

HINT $\ $ In analogy with change of basis in linear algebra, consider linear transformations of the ideal generators $\rm\: (r',s',t') = (r,s,t)\:A\:.\:$ What kind of matrices $\rm\:A\:$ suffice to preserve the ideal?

share|improve this answer
    
And there are also non-linear ones. –  user18119 Nov 29 '11 at 22:47

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.