List questions from monomial-ideals

Published on 15 Apr 2026 - 0:39

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Monomial Ideal Theory Questions

Published on 10 Apr 2026 - 21:35

237

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How can this possibly be a monomial basis for the given set of polynomials?

Published on 14 Apr 2026 - 5:49

266

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Associated Primes of Square free monomial ideals

Published on 12 Apr 2026 - 12:40

353

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Depth and associated primes

Published on 15 Apr 2026 - 19:19

170

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Monomial ordering clarification

Published on 12 Apr 2026 - 13:04

487

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From Ideals, Varieties and Algorithms: Monomial Ideals

Published on 07 May 2026 - 19:59

602

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Monomials and initial ideals

Published on 10 Apr 2026 - 21:35

185

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How to check Cohen-Macaulayness?

Published on 04 May 2026 - 9:41

223

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I'm stuck with trying to construct a $K$-basis for the quotient of the polynomial ring $S/I$.

Published on 31 Mar 2026 - 0:13

557

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How do you prove the ideal $I= (X^2, XY)$ has infinitely many distinct irredundant primary decompositions?

Published on 12 Apr 2026 - 14:22

589

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Squarefree monomial ideals have a decomposition as the intersection of monomial prime ideals.

Published on 09 Mar 2026 - 5:57

117

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If $I\subseteq J$ are ideals in a polynomial ring over a field, how do I prove that $I = J$ if $\operatorname{in}_<(I)=\operatorname{in}_<(J)$?

Published on 20 Apr 2026 - 10:38

2.6k

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Compute intersection of ideals in a polynomial ring

Published on 18 Apr 2026 - 5:52

373

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Show that some monomial ideal is primary

Published on 24 Apr 2026 - 3:55

List Question

Product and intersection of ideals in a polynomial ring

Monomial Ideal Theory Questions

How can this possibly be a monomial basis for the given set of polynomials?

Associated Primes of Square free monomial ideals

Depth and associated primes

Monomial ordering clarification

From Ideals, Varieties and Algorithms: Monomial Ideals

Monomials and initial ideals

How to check Cohen-Macaulayness?

I'm stuck with trying to construct a $K$-basis for the quotient of the polynomial ring $S/I$.

How do you prove the ideal $I= (X^2, XY)$ has infinitely many distinct irredundant primary decompositions?

Squarefree monomial ideals have a decomposition as the intersection of monomial prime ideals.

If $I\subseteq J$ are ideals in a polynomial ring over a field, how do I prove that $I = J$ if $\operatorname{in}_<(I)=\operatorname{in}_<(J)$?

Compute intersection of ideals in a polynomial ring

Show that some monomial ideal is primary

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