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Valuation rings only have two prime ideals?

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#abstract-algebra #algebraic-geometry #commutative-algebra #valuation-theory
115
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why $-\log(x) $ is a valuation like $v_p(x)$?

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#valuation-theory
124
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What is the missing discrete valuation ring?

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#abstract-algebra #algebraic-geometry #valuation-theory
49
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Discrete Valuation Property

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#ring-theory #valuation-theory
104
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Etale covers of $\mathbb{G}_{m,k}$ in char 0

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#algebraic-geometry #commutative-algebra #valuation-theory #ramification #etale-cohomology
116
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If $A$ is a DVR such that $k\subset A\subset k(x)$, $Frac(A)=k(x)$ and $x\not\in A$, then $A=\mathcal{O}_{\infty}(k)$

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#commutative-algebra #principal-ideal-domains #integral-domain #valuation-theory
75
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How can 2-adic valuations be enhanced to accommodate a sixth root of unity?

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#extension-field #p-adic-number-theory #valuation-theory
588
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integral closure is intersection of discrete valuation rings?

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#ring-theory #commutative-algebra #valuation-theory
60
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What does the notation $r \in |K^{\times}|$ mean?

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#p-adic-number-theory #valuation-theory
61
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What's $\lvert\cdot\rvert$ here?

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#metric-spaces #notation #valuation-theory
107
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Characteristic of residue class field

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#number-theory #valuation-theory
24
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we have min-valuation?

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#valuation-theory
95
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Extending absolute value to p-adic number

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#p-adic-number-theory #valuation-theory
102
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Extension of valuation ring

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#commutative-algebra #valuation-theory
138
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Hands-on argument for base p version of Legendre's formula

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#elementary-number-theory #valuation-theory

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