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| working with submodules https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2806 |
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| Author: | gstic [ Wed Nov 28, 2018 6:52 pm ] |
| Post subject: | working with submodules |
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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