Question

The Hilbert function and polynomial of $S = k[x_1, x_2, x_3, x_4]$ and $I = (x_1x_3, x_1x_4, x_2x_4)$ step clarification.

score 174 · Answer 1 · 2026-05-11 00:34:51

174

Views

The Hilbert function and polynomial of $S = k[x_1, x_2, x_3, x_4]$ and $I = (x_1x_3, x_1x_4, x_2x_4)$ step clarification.

Published on 11 May 2026 - 0:34

score 250 · Answer 2 · 2026-04-16 00:33:43

250

Views

The ideal $(x^5,y^6,xy)$ cannot be generated by two elements

Published on 16 Apr 2026 - 0:33

score 154 · Answer 3 · 2026-04-11 16:09:29

154

Views

Proving that $\langle LT(I) \rangle$ is a monomial ideal where $I$ is an ideal.

Published on 11 Apr 2026 - 16:09

score 45 · Answer 4 · 2026-04-14 23:41:23

45

Views

Let $J=\langle x,y\rangle$ and $I=J^3=J\cdot J\cdot J$ in $\mathbb{Q}[x,y]$. (Two questions down below in the body...)

Published on 14 Apr 2026 - 23:41

score 277 · Answer 5 · 2026-04-12 00:42:10

277

Views

About the height of primes associated to a squarefree monomial ideal $I\subseteq J$

Published on 12 Apr 2026 - 0:42

score 138 · Answer 6 · 2026-04-11 04:30:09

138

Views

Are minimal Groebner bases minimized bases?

Published on 11 Apr 2026 - 4:30

score 47 · Answer 7 · 2026-04-16 08:23:10

47

Views

a corollary of dickson's lemma!

Published on 16 Apr 2026 - 8:23

score 80 · Answer 8 · 2026-04-12 03:44:58

80

Views

Minimal prime ideals and associated prime ideals

Published on 12 Apr 2026 - 3:44

score 422 · Answer 9 · 2026-04-14 05:39:53

422

Views

Compute Intersection of Two Ideals

Published on 14 Apr 2026 - 5:39

score 189 · Answer 10 · 2026-04-12 21:11:47

189

Views

The intersection of squarefree monomial ideals is a squarefree monomial ideal

Published on 12 Apr 2026 - 21:11

score 91 · Answer 11 · 2026-04-15 00:38:32

91

Views

Castelnuovo-Mumford Regularity of Sub-ideals $I \subset J$

Published on 15 Apr 2026 - 0:38

score 92 · Answer 12 · 2026-03-25 23:10:08

92

Views

Betti number of graded ideal and graded quotients

Published on 25 Mar 2026 - 23:10

score 208 · Answer 13 · 2026-04-17 10:07:25

208

Views

Minimal generating set of a monomial ideal of $k[x_1,\dots,x_n]$

Published on 17 Apr 2026 - 10:07

score 182 · Answer 14 · 2026-04-10 00:49:42

182

Views

Monomial in monomial ideal

Published on 10 Apr 2026 - 0:49

score 333 · Answer 15 · 2026-05-03 12:01:05

333

Views

Example of initial ideal

Published on 03 May 2026 - 12:01

List Question

The Hilbert function and polynomial of $S = k[x_1, x_2, x_3, x_4]$ and $I = (x_1x_3, x_1x_4, x_2x_4)$ step clarification.

The ideal $(x^5,y^6,xy)$ cannot be generated by two elements

Proving that $\langle LT(I) \rangle$ is a monomial ideal where $I$ is an ideal.

Let $J=\langle x,y\rangle$ and $I=J^3=J\cdot J\cdot J$ in $\mathbb{Q}[x,y]$. (Two questions down below in the body...)

About the height of primes associated to a squarefree monomial ideal $I\subseteq J$

Are minimal Groebner bases minimized bases?

a corollary of dickson's lemma!

Minimal prime ideals and associated prime ideals

Compute Intersection of Two Ideals

The intersection of squarefree monomial ideals is a squarefree monomial ideal

Castelnuovo-Mumford Regularity of Sub-ideals $I \subset J$

Betti number of graded ideal and graded quotients

Minimal generating set of a monomial ideal of $k[x_1,\dots,x_n]$

Monomial in monomial ideal

Example of initial ideal

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