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Integral Closure in $\mathbb{Q}(\alpha)$

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#algebraic-number-theory
358
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Is this ring an integral domain?

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#abstract-algebra #algebraic-number-theory
202
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Silly mistake in this number theory book

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#abstract-algebra #number-theory #algebraic-number-theory
96
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How can I prove an ideal is a product of two irreducible ones

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#abstract-algebra #number-theory #algebraic-number-theory #ideals
228
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$\{1,\sqrt[3]{3},(\sqrt[3]{3})^2 \}$ is integral basis for $\Bbb{Q}(\sqrt{3^3})$

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#abstract-algebra #algebraic-number-theory
528
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Frobenius action on $\overline{\mathbb Q_p}$

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#linear-algebra #number-theory #algebraic-number-theory #p-adic-number-theory
81
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what is the unique prime factorization for the ideal $p\mathbb{Z}[\zeta]$ in the Dedekind domain $\mathbb{Z}[\zeta]$?

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#algebraic-number-theory #solution-verification
225
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Question on extensions of discrete valuation fields

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#abstract-algebra #algebraic-number-theory #valuation-theory
78
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Algebraic extension of an abelian group.

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#group-theory #soft-question #algebraic-number-theory #extension-field
256
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Are there relations among Frobenii?

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#algebraic-number-theory #galois-theory
159
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How to prove a number is algebraic?

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#real-analysis #algebraic-number-theory #real-numbers
286
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Calculating the class group of $\mathcal{O}_K$, for $K=\mathbb{Q}(\sqrt{7})$?

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#number-theory #algebraic-number-theory #analytic-number-theory
1.1k
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Norm map of totally ramified extension

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#algebraic-number-theory
1.2k
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Is an algebraic number raised to a rational power again algebraic?

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#abstract-algebra #number-theory #elementary-number-theory #algebraic-number-theory #exponentiation
148
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a step in a proof in Samuel's Algebraic number theory

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#group-theory #finite-groups #algebraic-number-theory #abstract-algebra

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