Question

Structure theorem for modules over Dedekind domains

score 1.3k · Answer 1 · 2020-05-20 18:44:50

1.3k

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Structure theorem for modules over Dedekind domains

Published on 20 May 2020 - 18:44

score 267 · Answer 2 · 2026-03-25 11:54:20

267

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Prime decomposition of pR in $\mathbb{A}\cap \mathbb{Q}[\alpha]$ for $\alpha={^3\sqrt{hk^2}}$ if p is a prime such that $p^2|m$

Published on 25 Mar 2026 - 11:54

score 95 · Answer 3 · 2020-05-29 15:09:59

95

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Find the composition of finitely generated module over Dedekind domain

Published on 29 May 2020 - 15:09

score 36 · Answer 4 · 2020-06-16 10:39:39

36

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Is it true that if an ideal $I$ of ring $R$ can be denoted as the product of ideals $J$ and $K$ then $I \subseteq J$ and $I \subseteq K$?

Published on 16 Jun 2020 - 10:39

score 114 · Answer 5 · 2020-06-18 14:15:25

114

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Valuation at a prime ideal

Published on 18 Jun 2020 - 14:15

score 163 · Answer 6 · 2026-03-25 09:38:40

163

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Does locally DVR implies Dedekind Domain when it is 1-dimensional, semi-local domain but Noetherian not given

Published on 25 Mar 2026 - 9:38

score 432 · Answer 7 · 2020-07-07 18:08:26

432

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GCD of Ideal: How we get $\gcd(I, J) = I + J $?

Published on 07 Jul 2020 - 18:08

score 245 · Answer 8 · 2020-07-17 04:35:39

245

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Ring below Dedekind domain is Dedekind domain.

Published on 17 Jul 2020 - 4:35

score 147 · Answer 9 · 2016-07-23 18:20:44

147

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Principal Ideal Domain and Factorization

Published on 23 Jul 2016 - 18:20

score 488 · Answer 10 · 2016-08-15 06:41:55

488

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Any commutative ring lying between a Dedekind domain and its fraction field is Dedekind?

Published on 15 Aug 2016 - 6:41

score 37 · Answer 11 · 2016-10-04 03:04:09

37

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Meaning of $f_\mathfrak{p}$ given that $f$ is a surjective homomorphism of modules over a Dedekind domain and $\mathfrak{p}$ is a prime ideal.

Published on 04 Oct 2016 - 3:04

score 219 · Answer 12 · 2016-11-11 15:15:48

219

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intersection of localization with the base field

Published on 11 Nov 2016 - 15:15

score 500 · Answer 13 · 2016-11-11 18:28:53

500

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Cancellation in quotient of fractional ideals

Published on 11 Nov 2016 - 18:28

score 2.6k · Answer 14 · 2017-01-03 18:35:08

2.6k

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Ideal class group of $\mathbb{Q}(\sqrt{-65})$

Published on 03 Jan 2017 - 18:35

score 248 · Answer 15 · 2017-01-13 20:12:23

248

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Exponents in the factorization of fractional ideals - Dedekind Domains

Published on 13 Jan 2017 - 20:12

List Question

Structure theorem for modules over Dedekind domains

Prime decomposition of pR in $\mathbb{A}\cap \mathbb{Q}[\alpha]$ for $\alpha={^3\sqrt{hk^2}}$ if p is a prime such that $p^2|m$

Find the composition of finitely generated module over Dedekind domain

Is it true that if an ideal $I$ of ring $R$ can be denoted as the product of ideals $J$ and $K$ then $I \subseteq J$ and $I \subseteq K$?

Valuation at a prime ideal

Does locally DVR implies Dedekind Domain when it is 1-dimensional, semi-local domain but Noetherian not given

GCD of Ideal: How we get $\gcd(I, J) = I + J $?

Ring below Dedekind domain is Dedekind domain.

Principal Ideal Domain and Factorization

Any commutative ring lying between a Dedekind domain and its fraction field is Dedekind?

Meaning of $f_\mathfrak{p}$ given that $f$ is a surjective homomorphism of modules over a Dedekind domain and $\mathfrak{p}$ is a prime ideal.

intersection of localization with the base field

Cancellation in quotient of fractional ideals

Ideal class group of $\mathbb{Q}(\sqrt{-65})$

Exponents in the factorization of fractional ideals - Dedekind Domains

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