List questions from primary-decomposition

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Algorithm to decompose a number into the product of an integer and a base two exponencial

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Primary decomposition of the zero submodule of a module $M$, and of the annihilator of $M$

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finding primary decomposition of an ideal and embedded primes

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Primary decomposition for an ideal

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Primary decomposition in Noetherian rings

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The ideals $(x^m,y^n)$ in $\Bbb Z[x,y]$ are $(x,y)$-primary

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About Primary Decomposition - $\displaystyle\cup^n_{i=1}\mathfrak{p}_i=\{x\in A:(\mathfrak{a}:x)\neq\mathfrak{a}\}$

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Finding a primary decomposition of an ideal in $\Bbb Z[X]$

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Ideals the same after localization by associated primes

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Intersection of two primary ideals in $\mathbb{Z}[x]$.

Published on 25 Feb 2026 - 20:52

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$I=P_1P_2=P_1\cap P_2\cap m^2$ in $k[x,y,z]$, where $P_1=\langle x, y \rangle, P_2=\langle x,z\rangle , m=\langle x,y,z\rangle$

Published on 29 Nov 2019 - 18:00

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Primary decomposition of $I=\langle xy,x^3-x^2,x^2y-xy\rangle$

Published on 04 Dec 2019 - 1:22

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The minimal primes of $k[x,y]/\langle xy,x^3-x^2\rangle$

Published on 23 Mar 2026 - 21:43

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Minimal polynomials and the primary decomposition theorem.

Published on 09 Jan 2020 - 10:29

List Question

Exercise 4.19 in Atiyah-MacDonald

Algorithm to decompose a number into the product of an integer and a base two exponencial

Primary decomposition of the zero submodule of a module $M$, and of the annihilator of $M$

finding primary decomposition of an ideal and embedded primes

Primary decomposition for an ideal

Primary decomposition in Noetherian rings

The ideals $(x^m,y^n)$ in $\Bbb Z[x,y]$ are $(x,y)$-primary

About Primary Decomposition - $\displaystyle\cup^n_{i=1}\mathfrak{p}_i=\{x\in A:(\mathfrak{a}:x)\neq\mathfrak{a}\}$

Finding a primary decomposition of an ideal in $\Bbb Z[X]$

Ideals the same after localization by associated primes

Intersection of two primary ideals in $\mathbb{Z}[x]$.

$I=P_1P_2=P_1\cap P_2\cap m^2$ in $k[x,y,z]$, where $P_1=\langle x, y \rangle, P_2=\langle x,z\rangle , m=\langle x,y,z\rangle$

Primary decomposition of $I=\langle xy,x^3-x^2,x^2y-xy\rangle$

The minimal primes of $k[x,y]/\langle xy,x^3-x^2\rangle$

Minimal polynomials and the primary decomposition theorem.

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