List questions from monomial-ideals

Published on 14 Apr 2026 - 9:47

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Poincaré series of quotient module

Published on 25 Mar 2026 - 15:41

109

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

Published on 14 Apr 2026 - 23:43

729

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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 16 Apr 2026 - 18:41

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

Published on 17 Apr 2026 - 5:21

311

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monomial ideals

Published on 24 Apr 2026 - 20:30

66

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

Published on 25 Mar 2026 - 15:47

121

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

Published on 25 Mar 2026 - 15:41

874

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Intersection distributes over sum for monomial ideals.

Published on 25 Mar 2026 - 15:37

408

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Non-monomial ideal with monomial radical

Published on 25 Mar 2026 - 15:38

399

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

Published on 25 Mar 2026 - 15:47

648

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Finding the minimal primary decomposition of a monomial ideal

Published on 25 Mar 2026 - 15:47

88

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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 25 Mar 2026 - 15:43

451

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Depth of monomial ideal

Published on 10 Apr 2026 - 16:59

4.5k

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The radical of a monomial ideal is also monomial

Published on 16 Apr 2026 - 2:39

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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