List questions from monomial-ideals

Published on 03 Sep 2015 - 10:17

127

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Monomial Ideal Theory Questions

Published on 09 Sep 2015 - 17:18

234

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

Published on 16 Sep 2015 - 22:32

262

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Associated Primes of Square free monomial ideals

Published on 21 Sep 2015 - 3:02

349

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Depth and associated primes

Published on 21 Sep 2015 - 20:27

166

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Monomial ordering clarification

Published on 10 Oct 2015 - 1:05

472

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From Ideals, Varieties and Algorithms: Monomial Ideals

Published on 28 Oct 2015 - 1:27

599

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Monomials and initial ideals

Published on 21 Mar 2026 - 21:55

183

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How to check Cohen-Macaulayness?

Published on 16 Feb 2016 - 20:20

222

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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 22 Mar 2026 - 10:28

556

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

Published on 08 Mar 2016 - 7:48

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

115

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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 24 Mar 2026 - 2:39

2.6k

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Compute intersection of ideals in a polynomial ring

Published on 22 Mar 2026 - 10:14

372

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Show that some monomial ideal is primary

Published on 20 Apr 2016 - 15:07

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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