List questions from primary-decomposition

Published on 05 Dec 2023 - 21:40

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Is there an algorithm like primary decomposition of an ideal that also assumes there are no zero divisors?

Published on 25 Mar 2026 - 9:53

113

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Proving that if $J=\bigcap_{n\geq0}I^n$ then $IJ = J$

Published on 04 Jan 2024 - 16:39

44

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Confusion about the primary decomposition theorem in linear algebra

Published on 16 Mar 2026 - 3:12

18

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Modules and Diagonizability using Primary Decomposition

Published on 19 Mar 2026 - 12:10

101

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Finding a primary decomposition of an ideal.

Published on 23 Mar 2024 - 15:06

1.7k

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Proof of the Primary Decomposition Theorem

Published on 10 Jan 2018 - 14:13

204

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Proposition 4.7 in Atiyah-Macdonald

Published on 20 Sep 2020 - 17:55

87

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Elements of a Module Whose Annihilator is a Given Associated Prime

Published on 22 Sep 2020 - 17:47

278

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About primary decomposition in the Graded ring

Published on 28 Sep 2020 - 0:48

68

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Example of Ascending Chain Condition(ACC) on annihilator

Published on 04 Dec 2020 - 20:21

93

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Finding equidimensional radical of an ideal

Published on 12 Dec 2020 - 8:48

266

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Find minimal primary decompositions of ideals

Published on 18 Dec 2020 - 13:51

55

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Give an example of a proper ideal I of a ring R such that the radical of I is equal to R i.e. √I=R.

Published on 10 Jan 2021 - 14:25

289

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every ideal in a Noetherian ring is an intersection of ideals primary to maximal ideals?

Published on 18 Jan 2021 - 3:00

List Question

Given an ideal $I$, when is $I^nR_P=P^sR_P$ for some $n,s \ge 1$ and some prime ideal $P$

Is there an algorithm like primary decomposition of an ideal that also assumes there are no zero divisors?

Proving that if $J=\bigcap_{n\geq0}I^n$ then $IJ = J$

Confusion about the primary decomposition theorem in linear algebra

Modules and Diagonizability using Primary Decomposition

Finding a primary decomposition of an ideal.

Proof of the Primary Decomposition Theorem

Proposition 4.7 in Atiyah-Macdonald

Elements of a Module Whose Annihilator is a Given Associated Prime

About primary decomposition in the Graded ring

Example of Ascending Chain Condition(ACC) on annihilator

Finding equidimensional radical of an ideal

Find minimal primary decompositions of ideals

Give an example of a proper ideal I of a ring R such that the radical of I is equal to R i.e. √I=R.

every ideal in a Noetherian ring is an intersection of ideals primary to maximal ideals?

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