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Invariant subfield of cyclotomic field

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#algebraic-number-theory
209
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Problem on Integral domain and equation solving

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#ring-theory #algebraic-number-theory
135
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Factorize $ 77 $ in $ \mathbb{Z}[\sqrt{-13}]$

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#algebraic-number-theory
75
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behaviour of prime ideals dividing discriminant

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#algebraic-number-theory
468
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Finiteness of prime ideals in Dedekind domains

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#ring-theory #commutative-algebra #algebraic-number-theory #maximal-and-prime-ideals #dedekind-domain
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Relative discriminant of extension of number field

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#abstract-algebra #number-theory #modules #algebraic-number-theory #discriminant
161
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Ramification in Galois Closure

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#field-theory #algebraic-number-theory
720
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$\mathbb{Z}[\sqrt{5}]$ is not Dedekind?

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#algebraic-number-theory #dedekind-domain
38
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Ramification Groups without valuations

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#algebraic-number-theory #ramification
54
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Solving a bilinear form equation over a cubic field

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#algebraic-number-theory
449
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Primes congruent to $1$ modulo $6$ are of the form $3a^2+b^2$

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#abstract-algebra #elementary-number-theory #ring-theory #algebraic-number-theory
170
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Find all the whole solutions of the equation: $15x+12y+30z=24$

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#number-theory #elementary-number-theory #algebraic-number-theory #analytic-number-theory
33
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Canonical Map of S-units into class group

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#algebraic-number-theory #localization
232
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Quotient of fractional ideals (works as quotient of rational numbers)

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#abstract-algebra #proof-verification #ring-theory #modules #algebraic-number-theory
69
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$\mathcal O_K$ is a PID where $K=\mathbb{Q}(\sqrt{-2})$

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#abstract-algebra #algebraic-number-theory

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