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.

I just want to ask if anybody as any examples of a first order model complete theorie of henselian local rings which is not some theory of valuation rings. More precisely-

I am looking for a theory $T$ of the language of rings such that

  1. Every model of $T$ is a henselian local ring
  2. There exists a model of $T$ that is not a valuation ring
  3. $T$ is model complete.

Indeed, does anybody know anything about that model theory of henselian local rings?

Thanks for your help in advance.

share|improve this question
    
Are all local henselian rings domains to you? Otherwise, I'd try to find a theory of local henselian rings which are not domains. Unless those don't exist for some reason. :) –  tomasz Dec 18 '12 at 20:13
add comment

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.