List questions from formal-completions

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

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Completion and tensor product

Published on 11 Apr 2026 - 20:50

111

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

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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.

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General element of completion of a ring

Published on 10 Apr 2026 - 22:24

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

Published on 25 Mar 2026 - 12:20

57

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

Published on 25 Mar 2026 - 12:17

105

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Few questions regarding formal vector bundles on formal completions.

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90

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

Published on 25 Mar 2026 - 12:16

162

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

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159

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

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58

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Complete valuation field has no other valuations

Published on 25 Mar 2026 - 12:15

200

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Finitely generated module whose completion has finite length

Published on 25 Mar 2026 - 12:12

132

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

Published on 10 May 2026 - 17:06

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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