List questions from formal-completions

Published on 06 Jun 2017 - 3:40

62

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Isomorphism between $M/I^nM$ and $\hat{M}/\hat{I}^n\hat{M}$

Published on 06 Jun 2017 - 21:17

1.4k

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Completion and tensor product

Published on 01 Dec 2017 - 11:45

110

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The value of a polynomial in $p$-adic completion

Published on 06 Jan 2018 - 7:00

83

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If $\widehat{M}$ is a free $\widehat{R}$-module of rank $n$ then $M$ has a generating set of $n$ elements as an $R$-module.

Published on 17 Aug 2020 - 15:26

41

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General element of completion of a ring

Published on 07 Sep 2020 - 0:46

57

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Completion of $R[x,x^{-1}]$ at the ideal $(1+x)$

Published on 15 Dec 2020 - 17:42

56

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Completion of nonstandard numbers allowed and isomorphic to non-negative, non-infinitesimal, integer hyperreals?

Published on 31 Dec 2020 - 20:58

104

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Few questions regarding formal vector bundles on formal completions.

Published on 04 Feb 2021 - 12:28

89

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$T_p(E)/p^nT_p(E)$ is isomorphic to $E[p^n]$

Published on 25 Mar 2021 - 6:52

161

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What is a $R$ adic completion of $R$?

Published on 30 Mar 2021 - 19:31

158

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Let $R$ be a complete local ring with respect to maximal ideal $I$. Then, intersection of $I^n$ is zero.

Published on 15 Apr 2021 - 16:36

57

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Complete valuation field has no other valuations

Published on 21 Apr 2021 - 20:03

199

Views

Finitely generated module whose completion has finite length

Published on 24 Apr 2021 - 4:28

130

Views

Analytically unramified local ring of dimension $1$ always admit canonical module?

Published on 25 Mar 2026 - 9:16

List Question

Closure of $I$ with respect to the $I$-adic topology in $\hat{A}$

Isomorphism between $M/I^nM$ and $\hat{M}/\hat{I}^n\hat{M}$

Completion and tensor product

The value of a polynomial in $p$-adic completion

If $\widehat{M}$ is a free $\widehat{R}$-module of rank $n$ then $M$ has a generating set of $n$ elements as an $R$-module.

General element of completion of a ring

Completion of $R[x,x^{-1}]$ at the ideal $(1+x)$

Completion of nonstandard numbers allowed and isomorphic to non-negative, non-infinitesimal, integer hyperreals?

Few questions regarding formal vector bundles on formal completions.

$T_p(E)/p^nT_p(E)$ is isomorphic to $E[p^n]$

What is a $R$ adic completion of $R$?

Let $R$ be a complete local ring with respect to maximal ideal $I$. Then, intersection of $I^n$ is zero.

Complete valuation field has no other valuations

Finitely generated module whose completion has finite length

Analytically unramified local ring of dimension $1$ always admit canonical module?

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