List questions from monomial-ideals

Published on 16 Apr 2026 - 3:22

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The monomials not inside $\operatorname{in}_<(I)$ form a K-basis inside the quotient ring

Published on 15 Apr 2026 - 18:59

216

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Showing that for every monomial $x^u\in\operatorname{in}_{<}(I)$, there exists $f\in I$ s.t. $\operatorname{in}_<(f)=x^u$

Published on 16 Apr 2026 - 3:16

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The annihilator numbers of $S/I$

Published on 10 Apr 2026 - 23:29

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Showing that if the initial ideal of I is radical, then I is radical.

Published on 11 Apr 2026 - 18:18

453

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Finding a finite generating set of an ideal of monomials

Published on 16 Apr 2026 - 1:26

1.4k

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Criterion for Irreducible Monomial Ideals

Published on 10 Apr 2026 - 4:04

744

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Dickson's Lemma

Published on 14 Apr 2026 - 16:32

88

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Find $\operatorname{depth}(R/p_1\cap p_2)$

Published on 16 Apr 2026 - 12:09

774

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Hilbert function of a monomial ideal generated by degree two square free monomials

Published on 10 Apr 2026 - 6:10

642

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Primary and irreducible ideals

Published on 15 Apr 2026 - 14:53

314

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Finding primary decompositions of ideals

Published on 11 Apr 2026 - 5:27

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Question on intersection of ideals.

Published on 10 Apr 2026 - 10:07

263

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Monomial ideals and Dickson's lemma

Published on 15 Apr 2026 - 10:46

257

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Projective dimension of monomial ideal

Published on 13 Apr 2026 - 11:41

List Question

$I = (x^2, y^2) ⊂ K[x, y]$; $gin\ (I)=?$

The monomials not inside $\operatorname{in}_<(I)$ form a K-basis inside the quotient ring

Showing that for every monomial $x^u\in\operatorname{in}_{<}(I)$, there exists $f\in I$ s.t. $\operatorname{in}_<(f)=x^u$

The annihilator numbers of $S/I$

Showing that if the initial ideal of I is radical, then I is radical.

Finding a finite generating set of an ideal of monomials

Criterion for Irreducible Monomial Ideals

Dickson's Lemma

Find $\operatorname{depth}(R/p_1\cap p_2)$

Hilbert function of a monomial ideal generated by degree two square free monomials

Primary and irreducible ideals

Finding primary decompositions of ideals

Question on intersection of ideals.

Monomial ideals and Dickson's lemma

Projective dimension of monomial ideal

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