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Topic review - working with submodules
Author Message
gstic
  Post subject:  working with submodules  Reply with quote
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
Post Posted: Wed Nov 28, 2018 6:52 pm


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