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15
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Is the residue field of an algebraically closed valued field algebraically closed?

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#commutative-algebra #field-theory #valuation-theory
178
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A 2-dimensional valuation domain

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#commutative-algebra #valuation-theory
148
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Is the value group of an algebraically closed valued field divisible?

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#group-theory #abelian-groups #model-theory #valuation-theory
401
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On the maximal unramified extension of $\mathbb{Q}_{p}$ of a given degree.

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#galois-theory #algebraic-number-theory #absolute-value #valuation-theory
108
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About the existence of tamely ramified extensions

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#algebraic-number-theory #absolute-value #valuation-theory #local-field
331
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(Sanity check) the adic spectrum $\operatorname{Spa}(\mathbb{Z}, \mathbb{Z})$

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#algebraic-geometry #p-adic-number-theory #valuation-theory #rigid-analytic-spaces
469
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Ideals are linearly ordered in evaluation rings

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#abstract-algebra #ideals #maximal-and-prime-ideals #valuation-theory
274
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How to find the Newton polygon of the polynomial product $ \ \prod_{i=1}^{p^2} (1-iX)$

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#p-adic-number-theory #valuation-theory
61
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Adjoining an element with given minimal polynomial to a DVR of characteristic p.

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#abstract-algebra #algebraic-number-theory #valuation-theory #local-rings
44
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Local fields. A $p$ - field $(k,v)$ with $\mathfrak{l=o/p}=\mathbb{F}_q$. Proof of lemma.

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#valuation-theory #local-field
103
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every ordered field $K$ has a natural valuation $v$, whose residue field is an archimedean ordered field.

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#valuation-theory #ordered-fields
99
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Valuation ring and localizations

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#abstract-algebra #maximal-and-prime-ideals #localization #valuation-theory
342
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Valuation of the p adic logarithm

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#algebraic-number-theory #absolute-value #p-adic-number-theory #valuation-theory
59
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non commuative division ring with a discrete valuation

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#noncommutative-algebra #valuation-theory
307
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Galois Groups in Ramification Theory

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#galois-theory #algebraic-number-theory #valuation-theory #ramification

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