Question

So Gröbner bases lead to nothing new for the Beal polynomial $x^a + y^b - z^c$?

score 125 · Answer 1 · 2026-04-01 18:46:08

125

Views

So Gröbner bases lead to nothing new for the Beal polynomial $x^a + y^b - z^c$?

Published on 01 Apr 2026 - 18:46

score 157 · Answer 2 · 2013-12-12 15:28:23

157

Views

Use / take advantage of Gröbner basis $ G = (g_j)$ to write $f \in I = \langle f_i \rangle$ as a $k$-linear combination of the polynomials in $I$?

Published on 12 Dec 2013 - 15:28

score 132 · Answer 3 · 2026-04-01 06:50:37

132

Views

Help with a Groebner basis

Published on 01 Apr 2026 - 6:50

score 298 · Answer 4 · 2026-04-01 17:32:06

298

Views

Reduced Gröbner bases are minimal.

Published on 01 Apr 2026 - 17:32

score 372 · Answer 5 · 2026-03-25 07:58:39

372

Views

Reduced Gröbner basis for a submodule, existence and uniqueness.

Published on 25 Mar 2026 - 7:58

score 200 · Answer 6 · 2026-03-25 08:00:45

200

Views

Showing that $\{g_1, \dots , g_s\}$ is also a Gröbner basis for $M.$

Published on 25 Mar 2026 - 8:00

score 185 · Answer 7 · 2026-03-25 07:57:21

185

Views

Help with computation in Gröbner Basis.

Published on 25 Mar 2026 - 7:57

score 37 · Answer 8 · 2026-03-25 08:01:34

37

Views

Given $I \subseteq \mathbb{R}[x,y,z]$ find the generating system of $I \cap \mathbb{R}[x,y]$

Published on 25 Mar 2026 - 8:01

score 96 · Answer 9 · 2026-04-16 16:07:03

96

Views

Confusion in grobner basis and ideals generated by matrices.

Published on 16 Apr 2026 - 16:07

score 82 · Answer 10 · 2026-03-25 08:00:36

82

Views

Doubt in computation of groebner basis and proving a set is a groebner basis.

Published on 25 Mar 2026 - 8:00

score 57 · Answer 11 · 2026-03-25 08:00:42

57

Views

How do I go between generators and elements of an ideal in $_2[x_1,...,x_n]$?

Published on 25 Mar 2026 - 8:00

score 221 · Answer 12 · 2026-04-16 20:08:14

221

Views

Given a set $G$, how do we show that it is a Gröbner basis of an ideal $I$?

Published on 16 Apr 2026 - 20:08

score 38 · Answer 13 · 2026-03-25 08:00:43

38

Views

Number of monomials in the complement of $\langle LT(I) \rangle$.

Published on 25 Mar 2026 - 8:00

score 85 · Answer 14 · 2026-03-25 08:01:32

85

Views

Find (a generating set for) $\mathbb{Q}[x]\cap I$ where $I=\langle x^2-y,y^2-x,x^5-x^2\rangle$ (generate gröbner basis).

Published on 25 Mar 2026 - 8:01

score 111 · Answer 15 · 2026-03-25 08:04:54

111

Views

Determining reduced Groebner basis of $I(V)$ by using Lagrange

Published on 25 Mar 2026 - 8:04

List Question

So Gröbner bases lead to nothing new for the Beal polynomial $x^a + y^b - z^c$?

Use / take advantage of Gröbner basis $ G = (g_j)$ to write $f \in I = \langle f_i \rangle$ as a $k$-linear combination of the polynomials in $I$?

Help with a Groebner basis

Reduced Gröbner bases are minimal.

Reduced Gröbner basis for a submodule, existence and uniqueness.

Showing that $\{g_1, \dots , g_s\}$ is also a Gröbner basis for $M.$

Help with computation in Gröbner Basis.

Given $I \subseteq \mathbb{R}[x,y,z]$ find the generating system of $I \cap \mathbb{R}[x,y]$

Confusion in grobner basis and ideals generated by matrices.

Doubt in computation of groebner basis and proving a set is a groebner basis.

How do I go between generators and elements of an ideal in $_2[x_1,...,x_n]$?

Given a set $G$, how do we show that it is a Gröbner basis of an ideal $I$?

Number of monomials in the complement of $\langle LT(I) \rangle$.

Find (a generating set for) $\mathbb{Q}[x]\cap I$ where $I=\langle x^2-y,y^2-x,x^5-x^2\rangle$ (generate gröbner basis).

Determining reduced Groebner basis of $I(V)$ by using Lagrange

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