Question

Primary decomposition of $(x^2,xy,xz)$ in $k[x,y,z]$ where $k$ is a field

score 1.3k · Answer 1 · 2026-04-16 08:22:52

1.3k

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Primary decomposition of $(x^2,xy,xz)$ in $k[x,y,z]$ where $k$ is a field

Published on 16 Apr 2026 - 8:22

score 588 · Answer 2 · 2026-04-14 09:56:26

588

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Monomial ideal as a vector space

Published on 14 Apr 2026 - 9:56

score 2k · Answer 3 · 2026-04-14 07:23:19

2k

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Monomial ideal is radical iff it is generated by square-free monomials

Published on 14 Apr 2026 - 7:23

score 682 · Answer 4 · 2026-04-12 15:07:49

682

Views

When is the quotient ring of a multivariable polynomial ring over a field by a monomial ideal an integral domain?

Published on 12 Apr 2026 - 15:07

score 37 · Answer 5 · 2026-03-25 16:02:03

37

Views

Entries of moment matrices are always nonnegative?

Published on 25 Mar 2026 - 16:02

score 160 · Answer 6 · 2026-03-25 06:04:25

160

Views

A question about the common zeroes of a homogeneous polynomial and its partial derivatives

Published on 25 Mar 2026 - 6:04

score 81 · Answer 7 · 2026-03-25 06:07:03

81

Views

On a special property of powers of ideals motivated by Artin-Rees lemma

Published on 25 Mar 2026 - 6:07

score 27 · Answer 8 · 2026-05-10 13:51:29

27

Views

On an analogy of the highest generating degree and reduction of ideals

Published on 10 May 2026 - 13:51

score 119 · Answer 9 · 2026-03-25 07:45:39

119

Views

Is the Hilbert series of the monomial ideal $\langle x^3, xyz \rangle$ equal to $\frac{2x^3-x^5}{(1-x)^3}$?

Published on 25 Mar 2026 - 7:45

score 36 · Answer 10 · 2026-03-25 06:04:35

36

Views

Betti numbers of edge ideal of disconnected graphs

Published on 25 Mar 2026 - 6:04

score 81 · Answer 11 · 2026-05-06 14:20:35

81

Views

On integral closedness of the multiplication of a monomial integrally closed ideal with the homogeneous maximal ideal

Published on 06 May 2026 - 14:20

score 116 · Answer 12 · 2026-05-03 10:12:10

116

Views

Finding the length of the kernel of a map in Macaulay2

Published on 03 May 2026 - 10:12

score 260 · Answer 13 · 2026-03-25 07:49:02

260

Views

How to prove this sufficient condition for when a monomial ideal is primary.

Published on 25 Mar 2026 - 7:49

score 88 · Answer 14 · 2026-03-25 06:01:31

88

Views

Classification of monomials in a monomial ideal

Published on 25 Mar 2026 - 6:01

score 62 · Answer 15 · 2026-04-15 19:19:15

62

Views

Demonstrations on the Simplicial complex of Graph

Published on 15 Apr 2026 - 19:19

List Question

Primary decomposition of $(x^2,xy,xz)$ in $k[x,y,z]$ where $k$ is a field

Monomial ideal as a vector space

Monomial ideal is radical iff it is generated by square-free monomials

When is the quotient ring of a multivariable polynomial ring over a field by a monomial ideal an integral domain?

Entries of moment matrices are always nonnegative?

A question about the common zeroes of a homogeneous polynomial and its partial derivatives

On a special property of powers of ideals motivated by Artin-Rees lemma

On an analogy of the highest generating degree and reduction of ideals

Is the Hilbert series of the monomial ideal $\langle x^3, xyz \rangle$ equal to $\frac{2x^3-x^5}{(1-x)^3}$?

Betti numbers of edge ideal of disconnected graphs

On integral closedness of the multiplication of a monomial integrally closed ideal with the homogeneous maximal ideal

Finding the length of the kernel of a map in Macaulay2

How to prove this sufficient condition for when a monomial ideal is primary.

Classification of monomials in a monomial ideal

Demonstrations on the Simplicial complex of Graph

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