List questions from primary-decomposition

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2 questions in Statement of Primary Decomposition Theorem and it's Corollary in Linear Algebra

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Primary Decomposition Theorem; proof?

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One dimensional noetherian domain $\implies $ uniqueness of primary decomposition of ideals?

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Irredundant primary decomposition of radical from irredundant primary decomposition under certain conditions

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On local rings $(R, \mathfrak m)$ such that $\text{Spec}(R)$ is disjoint union of $\text{Ass}(R)$ and $ \{\mathfrak m \}$

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proof_check: intersection of primary components of $\{0\}$ annihilates some element of a multiplicative system

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Is this space Noetherian?

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Find the primary decomposition of ideals in $\mathbb{Z}[\sqrt{5}]$

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Proving that an ideal is primary

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Kernels of pairwise relatively prime polynomials polynomials

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Is every subspace can be represented as T-cyclic for some T?

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A principal ideal is prime in a coprime localization -- is it prime in the ring?

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Definition of Primary Decomposition

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Example of a nonzero ideal which is contained in every other non zero ideal.

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Primary decomposition of an ideal and its extension

2 questions in Statement of Primary Decomposition Theorem and it's Corollary in Linear Algebra

Primary Decomposition Theorem; proof?

One dimensional noetherian domain $\implies $ uniqueness of primary decomposition of ideals?

Irredundant primary decomposition of radical from irredundant primary decomposition under certain conditions

On local rings $(R, \mathfrak m)$ such that $\text{Spec}(R)$ is disjoint union of $\text{Ass}(R)$ and $ \{\mathfrak m \}$

proof_check: intersection of primary components of $\{0\}$ annihilates some element of a multiplicative system

Is this space Noetherian?

Find the primary decomposition of ideals in $\mathbb{Z}[\sqrt{5}]$

Proving that an ideal is primary

Kernels of pairwise relatively prime polynomials polynomials

Is every subspace can be represented as T-cyclic for some T?

A principal ideal is prime in a coprime localization -- is it prime in the ring?

Definition of Primary Decomposition

Example of a nonzero ideal which is contained in every other non zero ideal.

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