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.

Consider the polynomial ring $R:=K[X_1,\ldots ,X_n]$ over the field $K$ and let $a_1,\ldots ,a_n\in K$. Then show that, for all choices of $t_1,\ldots ,t_n\in\mathbb{N}$ the ideal $((X_1-a_1)^{t_1},\ldots ,(X_n-a_n)^{t_n})$ of $R$ is primary.

share|improve this question
    
What is the radical of your ideal? –  Georges Elencwajg Jun 22 '12 at 11:40
    
...and use Proposition 4.2 of Atiyah-Macdonald. –  Andrea Jun 22 '12 at 16:33
    
Thanks I got it –  pritam Jun 24 '12 at 12:09

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.