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 71 · Answer 2 · 2020-07-06 18:37:53

71

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Finding Grobner basis using Buchberger's algorithm by Hand

Published on 06 Jul 2020 - 18:37

score 134 · Answer 3 · 2020-07-30 18:02:53

134

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Two (different ?) definitions of a Gröbner-Basis

Published on 30 Jul 2020 - 18:02

score 1.4k · Answer 4 · 2026-03-25 11:08:26

1.4k

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

Published on 25 Mar 2026 - 11:08

score 163 · Answer 5 · 2016-07-26 14:57:31

163

Views

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

Published on 26 Jul 2016 - 14:57

score 53 · Answer 6 · 2016-09-10 15:19:06

53

Views

Reducing indeterminates with basis of maximal ideal in polynomial ring

Published on 10 Sep 2016 - 15:19

score 672 · Answer 7 · 2016-09-14 10:43:34

672

Views

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

Published on 14 Sep 2016 - 10:43

score 323 · Answer 8 · 2016-09-18 05:20:00

323

Views

Gröbner bases over $\mathbb{Z}[x]$

Published on 18 Sep 2016 - 5:20

score 842 · Answer 9 · 2016-09-26 14:27:26

842

Views

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

Published on 26 Sep 2016 - 14:27

score 195 · Answer 10 · 2016-12-01 13:21:58

195

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 01 Dec 2016 - 13:21

score 460 · Answer 11 · 2016-12-03 16:32:30

460

Views

Number of solutions to a Grobner base and irreducible monomials

Published on 03 Dec 2016 - 16:32

score 353 · Answer 12 · 2016-12-05 10:08:44

353

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 05 Dec 2016 - 10:08

score 61 · Answer 13 · 2016-12-13 18:30:03

61

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 13 Dec 2016 - 18:30

score 64 · Answer 14 · 2016-12-14 12:54:58

64

Views

Meaning of free commutative monoid and morphism

Published on 14 Dec 2016 - 12:54

score 235 · Answer 15 · 2026-03-22 14:30:20

235

Views

What is the meaning of degree compatible ordering?

Published on 22 Mar 2026 - 14:30

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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