List questions from monomial-ideals | MathQa

From Ideals, Varieties and Algorithms: Monomial Ideals

Published on 12 Jan 2025 - 20:45

Monomials and initial ideals

Published on 13 Jan 2025 - 5:24

How to check Cohen-Macaulayness?

Published on 12 Jan 2025 - 18:46

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

Published on 12 Jan 2025 - 21:01

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

Published on 13 Jan 2025 - 5:24

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

Published on 13 Jan 2025 - 5:37

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 13 Jan 2025 - 5:27

Compute intersection of ideals in a polynomial ring

Published on 12 Jan 2025 - 20:44

Show that some monomial ideal is primary

Published on 12 Jan 2025 - 20:35

Show that $(X_{k_1}^{a_1},...,X_{k_s}^{a_s})$ is $(X_{k_1},...,X_{k_s})$-primary

Published on 12 Jan 2025 - 20:45