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Completion of localization equals the completion

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#noncommutative-algebra #localization #formal-completions
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A local homomorphism that induces a continuous embedding of complete discrete valuation fields

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#abstract-algebra #ring-theory #commutative-algebra #formal-completions
374
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injective homomorphism of local rings and completions

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#abstract-algebra #general-topology #ring-theory #commutative-algebra #formal-completions
264
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Is $\hat{G}$ is complete with respect to the induced topology of $G$?

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#abstract-algebra #general-topology #commutative-algebra #topological-groups #formal-completions
546
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Computation of completion of a local ring

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#algebraic-geometry #ring-theory #commutative-algebra #formal-completions
202
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Functor of points of the completion of a ring

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #formal-completions
910
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Questions about Formal Schemes

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#algebraic-geometry #schemes #formal-completions
450
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The free completion of a category under sifted colimits

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#category-theory #limits-colimits #functors #formal-completions
93
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Excellent Local Ring: Properties

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#algebraic-geometry #ring-theory #commutative-algebra #formal-completions
1.1k
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Etale iff Completions are Isomorphic

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#algebraic-geometry #commutative-algebra #schemes #formal-completions
128
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Completion of a stalk not integral domain

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#algebraic-geometry #ring-theory #commutative-algebra #limits-colimits #formal-completions
464
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Coherent and Cauchy Sequences.

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#algebraic-geometry #commutative-algebra #formal-completions
163
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$p$-adic completion of $\mathbb Z((t))$

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#ring-theory #commutative-algebra #power-series #formal-completions
83
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Completion given a partial order

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#commutative-algebra #formal-completions
48
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If $M$ is a $R$-module in a $K$-vector space $V$, is $\widehat M \cap V = M_{\mathfrak p}$?

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#commutative-algebra #localization #formal-completions

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