List questions from monomial-ideals

Published on 23 Feb 2026 - 4:01

189

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Poincaré series of quotient module

Published on 25 Jan 2014 - 13:22

105

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Under what conditions are the resolutions of two modules subcomplexes of the resolution of the tensor product?

Published on 02 Mar 2014 - 22:22

726

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Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?

Published on 06 Mar 2014 - 19:02

1.4k

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Property of colon ideal: $I: (J+K)=(I:J)\cap(I:K)$

Published on 07 May 2017 - 11:51

300

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monomial ideals

Published on 24 Mar 2026 - 10:42

65

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Are two monomial ideals equal iff they contain the same elements of minimal degree?

Published on 23 May 2017 - 18:26

120

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Is $\langle X^2Y + Y^2X \rangle$ a monomial ideal in $K[X,Y]$?

Published on 20 Aug 2017 - 10:28

873

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Intersection distributes over sum for monomial ideals.

Published on 05 Dec 2017 - 1:21

407

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Non-monomial ideal with monomial radical

Published on 10 Dec 2017 - 13:20

398

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Hilbert scheme of $n$ point action, torus action fixed points

Published on 18 Dec 2017 - 0:02

647

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Finding the minimal primary decomposition of a monomial ideal

Published on 03 Jan 2018 - 18:43

87

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Prove that $\mathbf{x^b}\in \langle\mathbf{x^{a_1},...,x^{a_k}} \rangle\iff \exists j\in \{1,...,k\}:\mathbf{x^{a_j}\mid x^b} $

Published on 07 Jan 2018 - 0:27

448

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Depth of monomial ideal

Published on 04 Dec 2011 - 19:47

4.5k

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The radical of a monomial ideal is also monomial

Published on 29 Mar 2012 - 12:27

List Question

Graded Betti Numbers of a Graded Ideal with Linear Quotients

Poincaré series of quotient module

Under what conditions are the resolutions of two modules subcomplexes of the resolution of the tensor product?

Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?

Property of colon ideal: $I: (J+K)=(I:J)\cap(I:K)$

monomial ideals

Are two monomial ideals equal iff they contain the same elements of minimal degree?

Is $\langle X^2Y + Y^2X \rangle$ a monomial ideal in $K[X,Y]$?

Intersection distributes over sum for monomial ideals.

Non-monomial ideal with monomial radical

Hilbert scheme of $n$ point action, torus action fixed points

Finding the minimal primary decomposition of a monomial ideal

Prove that $\mathbf{x^b}\in \langle\mathbf{x^{a_1},...,x^{a_k}} \rangle\iff \exists j\in \{1,...,k\}:\mathbf{x^{a_j}\mid x^b} $

Depth of monomial ideal

The radical of a monomial ideal is also monomial

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