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It's true that a valuation ring $R$ in the quotient field of a normal ring $A$ contain $A$?

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#abstract-algebra #ring-theory #commutative-algebra #valuation-theory
131
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Dimension of quotients of a discrete valuation domain

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#commutative-algebra #valuation-theory
309
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valuation ring, completeness

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#commutative-algebra #algebraic-number-theory #valuation-theory
565
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Connected component of the Idele group

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#number-theory #algebraic-number-theory #valuation-theory #class-field-theory #adeles
136
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Is the group $I_K/K^{\ast}$ compact?

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#number-theory #algebraic-number-theory #valuation-theory #class-field-theory #adeles
316
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Is it true that an equivalent 'absolute value' is an absolute value?

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#number-theory #algebraic-number-theory #valuation-theory
399
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Completion of a number field at a complex embedding

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#number-theory #algebraic-number-theory #valuation-theory
217
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Trivial absolute value

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#field-theory #absolute-value #valuation-theory
107
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Computing a valuation of a field

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#commutative-algebra #valuation-theory
84
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Ramification group of valuations - need terminology

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#abstract-algebra #commutative-algebra #algebraic-number-theory #valuation-theory
141
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Extension of valuation

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#abstract-algebra #number-theory #algebraic-number-theory #valuation-theory
259
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Negative degree valuation: valuation ring and its maximal ideal

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#abstract-algebra #rational-functions #principal-ideal-domains #valuation-theory #maximal-and-prime-ideals
192
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Valuation ring which is not a DVR but has finite residue field

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#commutative-algebra #examples-counterexamples #valuation-theory #local-rings
93
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If $|\alpha|_1 < 1 \implies |\alpha|_2 < 1$ for two valuations, are they equivalent?

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#ring-theory #commutative-algebra #field-theory #algebraic-number-theory #valuation-theory
219
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Definition of a valuation on the points of an elliptic curves

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#algebraic-geometry #elliptic-curves #valuation-theory #function-fields

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