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15
79
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Global vs Local algebraic number theory

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#algebraic-number-theory #p-adic-number-theory #valuation-theory
63
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Show that decomposition group $G_v$ of $v$ is isomorphic to $\mathrm{Gal}(\overline{K_v}/K_v)$

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#number-theory #galois-theory #algebraic-number-theory #valuation-theory
23
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Direct proof of two equivalent definitions of a Krull ring

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#ring-theory #ideals #maximal-and-prime-ideals #valuation-theory
93
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A technical difficulty in the proof of Clifford’s theorem in Stichtenoth’s book

Published on
#valuation-theory #function-fields
83
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An infinite family of Artin-Schreier polynomials which all split in $\mathbf{F}_q(\!(\theta)\!)$

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#extension-field #valuation-theory #formal-power-series #local-field
177
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Definition of $\mathfrak{p}$-adic field in Cassels

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#abstract-algebra #algebraic-number-theory #p-adic-number-theory #valuation-theory #local-field
99
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Convergence of a sequence in a non-Archimdean valuation for a field.

Published on
#valuation-theory #local-field
325
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What does the strong approximation theorem means for rational numbers?

Published on
#abstract-algebra #number-theory #field-theory #valuation-theory
342
Views

$p$-adic valuation on algebraic numbers

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#galois-theory #p-adic-number-theory #arithmetic-geometry #valuation-theory
72
Views

If $q$ an odd prime, is the inequality $2^n(q!)^n\mid 2(nq\text{)}!,\text{ where } n=1,2,3,4,... $ true?

Published on
#sequences-and-series #combinatorics #valuation-theory
196
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$p$-adic valuations of infinite products

Published on
#real-analysis #analytic-number-theory #p-adic-number-theory #valuation-theory
159
Views

Additive and multiplicative valuation

Published on
#commutative-algebra #valuation-theory
155
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Radical of ideals in local ring

Published on
#abstract-algebra #commutative-algebra #valuation-theory
158
Views

Confusion about the rank of a valuation

Published on
#algebraic-geometry #valuation-theory #function-fields
53
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The (in?)validity of an argument showing that a certain ring is a Krull domain

Published on
#ring-theory #valuation-theory #krull-dimension

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