List questions from ideals

Published on 25 Mar 2026 - 7:42

38

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Elimination of variables in zero-dimensional ideals

Published on 06 Jul 2016 - 17:51

1.2k

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$R/(IJ)$ is reduced $\Rightarrow IJ = I \cap J$ for ideals $I,J$ of a commutative ring $R$

Published on 07 Jul 2016 - 0:14

733

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What does Hilbert series of monomial ideals describe?

Published on 30 Mar 2026 - 12:42

3.3k

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Intuitive reasons of ring modulo maximal ideal or prime ideal

Published on 09 Jul 2016 - 9:22

677

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Prove that $\frac{R/ \ker \phi}{(\ker \phi + J)/ \ker \phi} \cong \frac{S}{\phi(J)}$

Published on 09 Jul 2016 - 23:56

587

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Field is an Artinian module

Published on 26 Mar 2026 - 14:16

210

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A doubt about the correspondence theorem.

Published on 10 Jul 2016 - 14:01

409

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Field and ideal notation: double bracks/parens vs single brackets/parens

Published on 03 Apr 2026 - 0:58

41

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What are minimal paths, generators of graph ideal in a cyclic graph $C_n$?

Published on 11 Jul 2016 - 18:38

38

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Showing that the radical contains the original ideal

Published on 11 Jul 2016 - 22:54

226

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If $B$ is an ideal of $A$ then $B[x]$ is an ideal of $A[x]$ - what's wrong with my proof?

Published on 13 Jul 2016 - 22:37

256

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All ideals of a subring of $\Bbb Q$

Published on 16 Jul 2016 - 16:24

1.4k

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Obtain dimension of multivariate polynomial quotient ring?

Published on 28 Mar 2026 - 1:46

291

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Jacobson radical of $R=\{\frac{a}{b}:a,b \in \Bbb Z,b \neq0\text{ and }p\nmid b\}$.

Published on 17 Jul 2016 - 15:27

List Question

Demonstrations on the Simplicial complex of Graph

Elimination of variables in zero-dimensional ideals

$R/(IJ)$ is reduced $\Rightarrow IJ = I \cap J$ for ideals $I,J$ of a commutative ring $R$

What does Hilbert series of monomial ideals describe?

Intuitive reasons of ring modulo maximal ideal or prime ideal

Prove that $\frac{R/ \ker \phi}{(\ker \phi + J)/ \ker \phi} \cong \frac{S}{\phi(J)}$

Field is an Artinian module

A doubt about the correspondence theorem.

Field and ideal notation: double bracks/parens vs single brackets/parens

What are minimal paths, generators of graph ideal in a cyclic graph $C_n$?

Showing that the radical contains the original ideal

If $B$ is an ideal of $A$ then $B[x]$ is an ideal of $A[x]$ - what's wrong with my proof?

All ideals of a subring of $\Bbb Q$

Obtain dimension of multivariate polynomial quotient ring?

Jacobson radical of $R=\{\frac{a}{b}:a,b \in \Bbb Z,b \neq0\text{ and }p\nmid b\}$.

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