List questions from primary-decomposition

Published on 22 Mar 2026 - 20:50

272

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How to find the cyclic vectors when finding the Rational form of a given matrix?

Published on 22 Mar 2026 - 20:26

186

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Decomposition in irreducible factors in a factor ring

Published on 22 Mar 2026 - 8:05

67

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Find inner product that meets primary decomposition criterias

Published on 23 Mar 2026 - 0:55

120

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If $W$ is T-invariant, $W=(W\cap W_{1})\oplus\cdots\oplus (W\cap W_{k})$

Published on 23 Mar 2026 - 11:22

134

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On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

Published on 20 Mar 2026 - 5:27

104

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Artin-Rees property in commutative Noetherian rings with unit

Published on 23 Mar 2026 - 12:18

442

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Length of a module is sum of length of modules localization at each associated prime.

Published on 23 Mar 2026 - 0:22

77

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Embedded primes in a finitely generated algebra over an algebraically closed field

Published on 18 Mar 2026 - 19:57

226

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Writing a projective scheme as a union of irreducible subschemes.

Published on 22 Mar 2026 - 19:14

406

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Primary ideals are those whose quotient has irreducible prime spectrum.

Published on 22 Mar 2026 - 15:17

52

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Factorization in the three variable function

Published on 25 Mar 2026 - 2:51

52

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Intersection of ideals and primary ideals

Published on 22 Mar 2026 - 12:48

533

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The notion of $P$-primary component

Published on 22 Mar 2026 - 13:19

51

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If $B$ is an $A$-algebra of Noetherian rings then $\text{Ass}_{A}M=\{f^{-1}(p):p \in \text{Ass}_{B}M\}$ for a f.g. $B$-module $M.$

Published on 22 Mar 2026 - 14:00

List Question

A confustion about the proof of Primary Decomposition theorem

How to find the cyclic vectors when finding the Rational form of a given matrix?

Decomposition in irreducible factors in a factor ring

Find inner product that meets primary decomposition criterias

If $W$ is T-invariant, $W=(W\cap W_{1})\oplus\cdots\oplus (W\cap W_{k})$

On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

Artin-Rees property in commutative Noetherian rings with unit

Length of a module is sum of length of modules localization at each associated prime.

Embedded primes in a finitely generated algebra over an algebraically closed field

Writing a projective scheme as a union of irreducible subschemes.

Primary ideals are those whose quotient has irreducible prime spectrum.

Factorization in the three variable function

Intersection of ideals and primary ideals

The notion of $P$-primary component

If $B$ is an $A$-algebra of Noetherian rings then $\text{Ass}_{A}M=\{f^{-1}(p):p \in \text{Ass}_{B}M\}$ for a f.g. $B$-module $M.$

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