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15
419
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Issue in the first French edition of Serre's local fields

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#number-theory #commutative-algebra #local-field
1.3k
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Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

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#field-theory #algebraic-number-theory #p-adic-number-theory #local-field #ramification
230
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Extending a DVR could produce not a DVR

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#algebraic-number-theory #p-adic-number-theory #local-field
180
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Convergence of roots of polynomials with coefficients in non-archimedean local field

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#polynomials #algebraic-number-theory #local-field
975
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Compositum of totally ramified extensions is not totally ramified

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#algebraic-number-theory #local-field
75
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Elements with infinite roots in $p$-adic integers

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#abstract-algebra #number-theory #metric-spaces #algebraic-number-theory #local-field
108
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Maximal ideal in local field and density of absolute value

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#algebraic-number-theory #local-field
117
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$p$-adic field and subgroup of the integer ring

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#algebraic-number-theory #local-field
179
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Uniformizer of a totally ramified radical extension of local fields

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#algebraic-number-theory #local-field
45
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Most local to global approach to number fields?

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#number-theory #algebraic-number-theory #local-field
72
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Galois extension of local fields with a separable extension of residue fields of positive characteristic

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#commutative-algebra #galois-theory #local-field
268
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Induced residue field extension

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#algebraic-number-theory #local-field #ramification
671
Views

Ring of integers of simple field extension of local field is monogenic

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#abstract-algebra #algebraic-number-theory #local-field
404
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Existence of a non-trivial additive character on a non-archimedian local field

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#duality-theorems #characters #local-field
721
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Ring of integers and unit group for local fields

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#algebraic-number-theory #class-field-theory #local-field

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