List questions from algebraic-numbers

Published on 23 Feb 2026 - 17:28

109

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Why is the order of an ideal with respect to a prime ideal well defined?

Published on 23 Feb 2026 - 17:26

39

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Why does $P^e \subset (\alpha) + P^e$ imply that $(\alpha) + P^e$ is a power of $P$?

Published on 23 Feb 2026 - 17:24

47

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Question about the proof that quotients of a ring of algebraic integers are finite

Published on 23 Feb 2026 - 17:26

119

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Computing the Minimal Polynomial of $\sqrt{3} + \sqrt[3]{5} $ over $\mathbb{Q} $

Published on 23 Feb 2026 - 17:24

35

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Why does $w^{p^n} - w \in P^2$ imply $w\in P^2$ for $P$ prime?

Published on 23 Feb 2026 - 17:27

112

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Why is the image of an element in $\mathbb Q(\zeta_m, \zeta_p)$ under an automorphism of $\mathbb Q(\zeta_m)$ defined?

Published on 23 Feb 2026 - 17:27

73

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Why does this entropy equation $H(p) = H(2p - p^2)$ have an algebraic solution?

Published on 23 Feb 2026 - 17:28

97

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Non-positively algebraic number

Published on 23 Feb 2026 - 17:22

88

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Prove $\sqrt{2}+\sqrt{3}+\sqrt{5}+...+\sqrt{p_{n}}$ is irrational, where $p_{n}$ is the nth prime.

Published on 23 Feb 2026 - 17:26

113

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$p$-adic Algebraic Number Fields: Their Primes and Units

Published on 23 Feb 2026 - 17:23

75

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Which numbers can be a minimal value of a polynomial with integer coefficients?

Published on 11 Apr 2026 - 6:09

72

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Is the statement of Baker's Theorem on wikipedia inaccurate?

Published on 23 Feb 2026 - 17:28

70

Views

Guessing algebraic number by its binary digits

Published on 23 Feb 2026 - 17:21

List Question

Why can we change the order of "exists" and "for all"?

Why is the order of an ideal with respect to a prime ideal well defined?

Why does $P^e \subset (\alpha) + P^e$ imply that $(\alpha) + P^e$ is a power of $P$?

Question about the proof that quotients of a ring of algebraic integers are finite

Computing the Minimal Polynomial of $\sqrt{3} + \sqrt[3]{5} $ over $\mathbb{Q} $

Why does $w^{p^n} - w \in P^2$ imply $w\in P^2$ for $P$ prime?

Why is the image of an element in $\mathbb Q(\zeta_m, \zeta_p)$ under an automorphism of $\mathbb Q(\zeta_m)$ defined?

Why does this entropy equation $H(p) = H(2p - p^2)$ have an algebraic solution?

Non-positively algebraic number

Prove $\sqrt{2}+\sqrt{3}+\sqrt{5}+...+\sqrt{p_{n}}$ is irrational, where $p_{n}$ is the nth prime.

$p$-adic Algebraic Number Fields: Their Primes and Units

Which numbers can be a minimal value of a polynomial with integer coefficients?

Is the statement of Baker's Theorem on wikipedia inaccurate?

Guessing algebraic number by its binary digits

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