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Topic review - working with submodules |
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working with submodules |
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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
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
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Posted: Wed Nov 28, 2018 6:52 pm |
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It is currently Fri May 13, 2022 10:54 am
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