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Why does $f(x_n)\rightarrow 0$ imply that a subsequence converges to zero of $f$?

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#limits #algebraic-number-theory #irreducible-polynomials #local-field #nonarchimedian-analysis
788
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Some properties about prime ideal under Galois extension

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#algebraic-number-theory #maximal-and-prime-ideals #class-field-theory #galois-extensions #ramification
485
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Pell's equation and Dirichlet's unit theorem

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#abstract-algebra #algebraic-number-theory #diophantine-equations
124
Views

Characterization of integers of Quadratic Fields

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#commutative-algebra #algebraic-number-theory
253
Views

How to prove $\sum_{i=1}^{p-1}\sqrt[p]{\frac{i}{p}} $ is an algebraic integer?

Published on
#number-theory #prime-numbers #algebraic-number-theory
70
Views

Is this element an algebraic integer?

Published on
#number-theory #algebraic-number-theory #integers #minimal-polynomials
513
Views

Class number of $\mathbb{Q}(\sqrt{13})$

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#number-theory #prime-numbers #algebraic-number-theory
917
Views

Is $\Bbb Z[\sqrt{6}]$ a UFD?

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#abstract-algebra #ring-theory #algebraic-number-theory
209
Views

Norm in the cyclotomic field

Published on
#field-theory #algebraic-number-theory #roots-of-unity
247
Views

On the class group of $\mathbb{Q}(\sqrt{-199})$

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#algebraic-number-theory #ideal-class-group
331
Views

Quadratic field ideal find $\mathbb{Z}$-basis given a $\mathcal{O}_K$-basis

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#abstract-algebra #number-theory #algebraic-number-theory #ideals #ideal-class-group
108
Views

Mordell curve when $d\equiv 3 \pmod 4$

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#algebraic-number-theory #ideal-class-group
69
Views

Irreducibility of Lemniscates

Published on
#algebraic-geometry #algebraic-number-theory #algebraic-curves
321
Views

Finitely generated ideals in algebraic integers are principal

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#algebraic-number-theory
136
Views

Prove that the Principal Ideal $(6+\sqrt{-13})$ of $ R = \mathbb{Z} + \mathbb{Z} \sqrt{-13}$ is the square of a prime ideal $P$ of $R$

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#abstract-algebra #algebraic-number-theory

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