Question

Properties of the exponent function attached to a nonzero prime ideal in a Dedekind domain

score 169 · Answer 1 · 2015-03-17 18:22:34

169

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Properties of the exponent function attached to a nonzero prime ideal in a Dedekind domain

Published on 17 Mar 2015 - 18:22

score 430 · Answer 2 · 2015-03-17 23:18:08

430

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prime ideal of integral closure on the decomposition iff lies above the prime ideal of the ring

Published on 17 Mar 2015 - 23:18

score 1.9k · Answer 3 · 2015-03-30 01:35:18

1.9k

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Projective modules over Dedekind Domains

Published on 30 Mar 2015 - 1:35

score 206 · Answer 4 · 2015-04-01 19:00:59

206

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Submodule of a finitely generated module over a Dedekind domain

Published on 01 Apr 2015 - 19:00

score 833 · Answer 5 · 2026-03-25 07:45:50

833

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Show that the ring of integers $A$ of the cubic field $\mathbb Q[x]$ with $x^3=2$ is principal.

Published on 25 Mar 2026 - 7:45

score 994 · Answer 6 · 2015-04-17 03:14:14

994

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Relatively prime ideals in Dedekind Domains

Published on 17 Apr 2015 - 3:14

score 2.6k · Answer 7 · 2015-04-21 11:17:49

2.6k

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A UFD is a PID if it has dimension $\le 1$ (nonzero prime ideals are maximal)

Published on 21 Apr 2015 - 11:17

score 321 · Answer 8 · 2015-04-21 17:10:18

321

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quotient of lattices, why of finite length? (about a statement in Local Fields of Serre)

Published on 21 Apr 2015 - 17:10

score 267 · Answer 9 · 2015-04-27 00:20:55

267

Views

Isomorphism of Localizations

Published on 27 Apr 2015 - 0:20

score 613 · Answer 10 · 2015-05-06 06:02:54

613

Views

Elementary divisors theorem for Dedekind domains (Exercise in Lang's Algebra)

Published on 06 May 2015 - 6:02

score 74 · Answer 11 · 2015-05-11 12:06:29

74

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What conditions are necessary for an ideal in a Dedekind domain to be principal?

Published on 11 May 2015 - 12:06

score 1000 · Answer 12 · 2015-05-15 19:58:17

1000

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Conductor of a ring

Published on 15 May 2015 - 19:58

score 390 · Answer 13 · 2015-05-19 17:54:58

390

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Extension of prime ideals in Dedekind domains

Published on 19 May 2015 - 17:54

score 196 · Answer 14 · 2015-05-22 19:30:06

196

Views

Can a unit of infinite order in algebraic integers of a number field be an arbitrarily high power of another unit?

Published on 22 May 2015 - 19:30

score 181 · Answer 15 · 2015-06-16 10:55:44

181

Views

Proving factorization into prime ideals in a Dedekind domain

Published on 16 Jun 2015 - 10:55

List Question

Properties of the exponent function attached to a nonzero prime ideal in a Dedekind domain

prime ideal of integral closure on the decomposition iff lies above the prime ideal of the ring

Projective modules over Dedekind Domains

Submodule of a finitely generated module over a Dedekind domain

Show that the ring of integers $A$ of the cubic field $\mathbb Q[x]$ with $x^3=2$ is principal.

Relatively prime ideals in Dedekind Domains

A UFD is a PID if it has dimension $\le 1$ (nonzero prime ideals are maximal)

quotient of lattices, why of finite length? (about a statement in Local Fields of Serre)

Isomorphism of Localizations

Elementary divisors theorem for Dedekind domains (Exercise in Lang's Algebra)

What conditions are necessary for an ideal in a Dedekind domain to be principal?

Conductor of a ring

Extension of prime ideals in Dedekind domains

Can a unit of infinite order in algebraic integers of a number field be an arbitrarily high power of another unit?

Proving factorization into prime ideals in a Dedekind domain

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