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?
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.
Here's how it works:
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top
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?