Question

Characterizing elements with square norms in quadratic integer rings

score 111 · Answer 1 · 2026-04-29 12:49:43

111

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Characterizing elements with square norms in quadratic integer rings

Published on 29 Apr 2026 - 12:49

score 557 · Answer 2 · 2026-05-05 16:27:49

557

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Is the integral closure of a ring of integers in finite separable extension a ring of integers?

Published on 05 May 2026 - 16:27

score 58 · Answer 3 · 2026-05-06 09:58:58

58

Views

Evaluate an expression as an element of $F$

Published on 06 May 2026 - 9:58

score 346 · Answer 4 · 2026-04-29 12:49:44

346

Views

Basis of the integer ring of $\mathbb{Q}(\sqrt5)$

Published on 29 Apr 2026 - 12:49

score 716 · Answer 5 · 2026-04-29 12:49:49

716

Views

Clarification about the definition of ring of integers of a local field

Published on 29 Apr 2026 - 12:49

score 142 · Answer 6 · 2026-04-29 12:50:30

142

Views

the ring of integers: prove that (2) is a prime ideal and that it is a pid

Published on 29 Apr 2026 - 12:50

score 82 · Answer 7 · 2026-05-10 12:34:31

82

Views

$n\in \mathbf{N}$ such that a solution of $X^4+nX^2 +1$ is a root of unit

Published on 10 May 2026 - 12:34

score 288 · Answer 8 · 2026-05-06 10:03:19

288

Views

When will a prime element of $\Bbb{Z}[(\sqrt{5}-1)/2]$ have field norm equal to a rational prime?

Published on 06 May 2026 - 10:03

score 1.3k · Answer 9 · 2026-04-29 12:50:18

1.3k

Views

Ring of integers of $\mathbb{Q}(i,\sqrt{5})$

Published on 29 Apr 2026 - 12:50

score 278 · Answer 10 · 2026-04-29 12:49:56

278

Views

Is $\mathcal{O}_{\mathbb{Q}(\sqrt{5})} = \mathbb{Z}[\phi]$?

Published on 29 Apr 2026 - 12:49

score 632 · Answer 11 · 2026-04-29 12:49:48

632

Views

Non unique factorization domains with prime factorizations with differing number of primes

Published on 29 Apr 2026 - 12:49

score 257 · Answer 12 · 2026-05-10 15:23:19

257

Views

Dedekind rings which are UFDs but not PIDs?

Published on 10 May 2026 - 15:23

score 185 · Answer 13 · 2026-05-10 15:24:18

185

Views

Detail in Theorem 12 pag 33, from Marcus book "Number Field"

Published on 10 May 2026 - 15:24

score 841 · Answer 14 · 2026-05-10 15:22:12

841

Views

Algorithms for finding the ring of integers

Published on 10 May 2026 - 15:22

score 1.2k · Answer 15 · 2026-05-10 15:23:43

1.2k

Views

Set of algebraic integers is closed under addition and multiplication

Published on 10 May 2026 - 15:23

List Question

Characterizing elements with square norms in quadratic integer rings

Is the integral closure of a ring of integers in finite separable extension a ring of integers?

Evaluate an expression as an element of $F$

Basis of the integer ring of $\mathbb{Q}(\sqrt5)$

Clarification about the definition of ring of integers of a local field

the ring of integers: prove that (2) is a prime ideal and that it is a pid

$n\in \mathbf{N}$ such that a solution of $X^4+nX^2 +1$ is a root of unit

When will a prime element of $\Bbb{Z}[(\sqrt{5}-1)/2]$ have field norm equal to a rational prime?

Ring of integers of $\mathbb{Q}(i,\sqrt{5})$

Is $\mathcal{O}_{\mathbb{Q}(\sqrt{5})} = \mathbb{Z}[\phi]$?

Non unique factorization domains with prime factorizations with differing number of primes

Dedekind rings which are UFDs but not PIDs?

Detail in Theorem 12 pag 33, from Marcus book "Number Field"

Algorithms for finding the ring of integers

Set of algebraic integers is closed under addition and multiplication

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