Post new topic Reply to topic  [ 1 post ] 
Author Message
 Post subject: working with submodules
PostPosted: Wed Nov 28, 2018 6:52 pm 

Joined: Fri Jun 24, 2011 10:10 am
Posts: 12
Hi
I have a Question

Let $R$ be the local ring of convergent power series in $n$ variables with
complex coefficients. Denote by $m$ the maximal ideal in $R$, and by
$M$ an $R$-module of finite type.
Consider the sequence of submodules $M_k=m^kM$ in $M$, for $k$ a non-negative integer.
How to compute the codimension of $M_{k+1}$ in $M_k$ ?

Thanks in advance


Report this post
Top
 Profile  
Reply with quote  
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 1 post ] 

You can post new topics in this forum
You can reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

It is currently Fri May 13, 2022 10:56 am
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group