Newbetuts
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New posts in valuation-theory
Why does the equation $x^2-82y^2=\pm2$ have solutions in every $\mathbb{Z}_p$ but not in $\mathbb{Z}$?
algebraic-number-theory
p-adic-number-theory
valuation-theory
Is every discrete absolute value non-archimedean?
field-theory
valuation-theory
How to show the only absolute value on a finite field is the trivial one.
abstract-algebra
finite-fields
valuation-theory
An infinite family of Artin-Schreier polynomials which all split in $\mathbf{F}_q(\!(\theta)\!)$
extension-field
valuation-theory
formal-power-series
local-field
Convergence of a sequence in a non-Archimdean valuation for a field.
valuation-theory
local-field
Why is $\mathbb{C}_p$ isomorphic to $\mathbb{C}$?
abstract-algebra
field-theory
valuation-theory
equivalent characterizations of discrete valuation rings
abstract-algebra
proof-verification
ring-theory
commutative-algebra
valuation-theory
Concrete examples of valuation rings of rank two.
abstract-algebra
commutative-algebra
valuation-theory
Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?
p-adic-number-theory
valuation-theory
Can we define a derivative on the $p$-adic numbers?
analysis
p-adic-number-theory
differential
valuation-theory
Absolute values equivalence in $\mathbb{F}_{q}(x)$
algebraic-number-theory
valuation-theory
Do $c=\frac{3\pm\sqrt{13}}2$ have meaningful 2-adic valuations?
p-adic-number-theory
valuation-theory
Classical number theoretic applications of the $p$-adic numbers
abstract-algebra
number-theory
elementary-number-theory
p-adic-number-theory
valuation-theory
Does every non-Archimedean absolute value satisfy the ultrametric inequality?
abstract-algebra
field-theory
absolute-value
valuation-theory
Simple property of a valuation on a field
abstract-algebra
field-theory
valuation-theory
Examples of Non-Noetherian Valuation Rings
commutative-algebra
valuation-theory
$p$-adic valuation on algebraic numbers
galois-theory
p-adic-number-theory
arithmetic-geometry
valuation-theory
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