Question

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

score 124 · Answer 1 · 2026-03-24 01:52:32

124

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

Published on 24 Mar 2026 - 1:52

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 130 · Answer 3 · 2020-12-04 14:57:58

130

Views

Help with a Groebner basis

Published on 04 Dec 2020 - 14:57

score 296 · Answer 4 · 2021-04-18 21:44:17

296

Views

Reduced Gröbner bases are minimal.

Published on 18 Apr 2021 - 21:44

score 371 · Answer 5 · 2021-04-18 23:26:01

371

Views

Reduced Gröbner basis for a submodule, existence and uniqueness.

Published on 18 Apr 2021 - 23:26

score 199 · Answer 6 · 2021-04-19 17:16:58

199

Views

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

Published on 19 Apr 2021 - 17:16

score 184 · Answer 7 · 2021-05-27 16:00:42

184

Views

Help with computation in Gröbner Basis.

Published on 27 May 2021 - 16:00

score 36 · Answer 8 · 2021-06-03 08:41:47

36

Views

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

Published on 03 Jun 2021 - 8:41

score 93 · Answer 9 · 2021-06-05 05:45:04

93

Views

Confusion in grobner basis and ideals generated by matrices.

Published on 05 Jun 2021 - 5:45

score 81 · Answer 10 · 2021-06-08 10:59:52

81

Views

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

Published on 08 Jun 2021 - 10:59

score 56 · Answer 11 · 2021-06-13 12:46:13

56

Views

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

Published on 13 Jun 2021 - 12:46

score 218 · Answer 12 · 2021-06-22 09:44:17

218

Views

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

Published on 22 Jun 2021 - 9:44

score 37 · Answer 13 · 2022-04-04 10:43:13

37

Views

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

Published on 04 Apr 2022 - 10:43

score 84 · Answer 14 · 2022-05-21 22:02:03

84

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 21 May 2022 - 22:02

score 110 · Answer 15 · 2022-12-01 13:15:31

110

Views

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

Published on 01 Dec 2022 - 13:15

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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