Question

Solving a system of polynomial equation - can I trust numerical results?

score 85 · Answer 1 · 2026-03-25 06:28:03

85

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Solving a system of polynomial equation - can I trust numerical results?

Published on 25 Mar 2026 - 6:28

score 72 · Answer 2 · 2026-03-25 13:51:03

72

Views

Finding Grobner basis using Buchberger's algorithm by Hand

Published on 25 Mar 2026 - 13:51

score 135 · Answer 3 · 2026-03-25 13:52:55

135

Views

Two (different ?) definitions of a Gröbner-Basis

Published on 25 Mar 2026 - 13:52

score 1.4k · Answer 4 · 2026-05-05 16:06:18

1.4k

Views

Is reverse lexicographic order the same as graded reverse lexicographic order?

Published on 05 May 2026 - 16:06

score 166 · Answer 5 · 2026-04-12 09:11:41

166

Views

relationship between independence of multivariate polynomials, generating sets of polynomial ideals

Published on 12 Apr 2026 - 9:11

score 56 · Answer 6 · 2026-04-14 00:46:01

56

Views

Reducing indeterminates with basis of maximal ideal in polynomial ring

Published on 14 Apr 2026 - 0:46

score 675 · Answer 7 · 2026-04-10 06:58:28

675

Views

Finding ideal generators of the ideal of relations among a certain set of polynomials

Published on 10 Apr 2026 - 6:58

score 326 · Answer 8 · 2026-04-12 05:03:14

326

Views

Gröbner bases over $\mathbb{Z}[x]$

Published on 12 Apr 2026 - 5:03

score 845 · Answer 9 · 2026-04-16 10:51:18

845

Views

Prove that determinant of a matrix (with polynomial entries) is non-zero

Published on 16 Apr 2026 - 10:51

score 198 · Answer 10 · 2026-04-17 08:40:25

198

Views

If we remove an element from a Gröbner basis $G$, is the new set $\overline G$ still a Gröbner basis of the new ideal generated by $\overline G$?

Published on 17 Apr 2026 - 8:40

score 463 · Answer 11 · 2026-04-16 13:51:10

463

Views

Number of solutions to a Grobner base and irreducible monomials

Published on 16 Apr 2026 - 13:51

score 356 · Answer 12 · 2026-04-15 15:31:42

356

Views

How to prove that a reduced Gröbner basis for $I\subset K(\mathbf t)[\mathbf x]$ is still a Gröbner basis under $\mathbf t\mapsto\mathbf a$?

Published on 15 Apr 2026 - 15:31

score 64 · Answer 13 · 2026-04-16 11:58:38

64

Views

The tangent cone of $V(f_1,\dots,f_s)$ is equal to $V(g_{1,min},\dots,g_{t,min})$ where $\{g_1,\dots,g_t\}$ is a standard basis for the local ring.

Published on 16 Apr 2026 - 11:58

score 67 · Answer 14 · 2026-04-13 12:35:45

67

Views

Meaning of free commutative monoid and morphism

Published on 13 Apr 2026 - 12:35

score 240 · Answer 15 · 2026-05-06 09:41:01

240

Views

What is the meaning of degree compatible ordering?

Published on 06 May 2026 - 9:41

List Question

Solving a system of polynomial equation - can I trust numerical results?

Finding Grobner basis using Buchberger's algorithm by Hand

Two (different ?) definitions of a Gröbner-Basis

Is reverse lexicographic order the same as graded reverse lexicographic order?

relationship between independence of multivariate polynomials, generating sets of polynomial ideals

Reducing indeterminates with basis of maximal ideal in polynomial ring

Finding ideal generators of the ideal of relations among a certain set of polynomials

Gröbner bases over $\mathbb{Z}[x]$

Prove that determinant of a matrix (with polynomial entries) is non-zero

If we remove an element from a Gröbner basis $G$, is the new set $\overline G$ still a Gröbner basis of the new ideal generated by $\overline G$?

Number of solutions to a Grobner base and irreducible monomials

How to prove that a reduced Gröbner basis for $I\subset K(\mathbf t)[\mathbf x]$ is still a Gröbner basis under $\mathbf t\mapsto\mathbf a$?

The tangent cone of $V(f_1,\dots,f_s)$ is equal to $V(g_{1,min},\dots,g_{t,min})$ where $\{g_1,\dots,g_t\}$ is a standard basis for the local ring.

Meaning of free commutative monoid and morphism

What is the meaning of degree compatible ordering?

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