Question

Grobner basis for an ideal in $\mathbb{Z}[x_1,\dots,x_n]$

score 499 · Answer 1 · 2016-12-22 20:13:19

499

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Grobner basis for an ideal in $\mathbb{Z}[x_1,\dots,x_n]$

Published on 22 Dec 2016 - 20:13

score 202 · Answer 2 · 2017-01-03 20:39:08

202

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Loewy length of quotient ring

Published on 03 Jan 2017 - 20:39

score 411 · Answer 3 · 2017-01-12 22:48:13

411

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Ideals and Grobner basis

Published on 12 Jan 2017 - 22:48

score 633 · Answer 4 · 2017-01-15 20:59:49

633

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Find the basis for a kernel and the dimension of the image for a linear map

Published on 15 Jan 2017 - 20:59

score 381 · Answer 5 · 2017-01-18 20:06:40

381

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Groebner Basis question (ideals)

Published on 18 Jan 2017 - 20:06

score 17.6k · Answer 6 · 2017-01-29 09:42:16

17.6k

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How do you solve a system of quadratic equations?

Published on 29 Jan 2017 - 9:42

score 434 · Answer 7 · 2017-02-10 21:01:09

434

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Gröbner basis of $f=x^2 y +xy^2 +y^2 $, $f_1 =y^2 -1$

Published on 10 Feb 2017 - 21:01

score 209 · Answer 8 · 2017-02-16 14:48:06

209

Views

Minimal set of generators for an algebraic variety (with Macaulay2)

Published on 16 Feb 2017 - 14:48

score 91 · Answer 9 · 2017-02-18 02:21:32

91

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How hard can it be to find generators for an ideal in a polynomial ring?

Published on 18 Feb 2017 - 2:21

score 135 · Answer 10 · 2017-03-11 15:49:29

135

Views

Is it possible that $G_j(=G\cap k[x_j,...,x_n])\neq \emptyset$ (where $G$ is a Groebner basis of $I$) but $G_j$ is not a Groebner basis of $I_j$?

Published on 11 Mar 2017 - 15:49

score 100 · Answer 11 · 2017-03-20 15:08:43

100

Views

Under what circumstances does the set $\bar G$ obtained by removing some elements of a Gröbner basis remain a Gröbner basis for $\langle\bar G\rangle$

Published on 20 Mar 2017 - 15:08

score 949 · Answer 12 · 2017-03-31 17:50:02

949

Views

S-polynomial of polynomials with relatively prime leading terms

Published on 31 Mar 2017 - 17:50

score 173 · Answer 13 · 2026-03-25 06:04:03

173

Views

Finding redundant equations in a underdetermined system of multivariate polynomial equations over $\Bbb R$

Published on 25 Mar 2026 - 6:04

score 64 · Answer 14 · 2023-02-17 13:43:11

64

Views

Are zero dimensional Ideals radical?

Published on 17 Feb 2023 - 13:43

score 83 · Answer 15 · 2026-03-25 07:42:32

83

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Groebner basis for system of integral quadratic forms

Published on 25 Mar 2026 - 7:42

List Question

Grobner basis for an ideal in $\mathbb{Z}[x_1,\dots,x_n]$

Loewy length of quotient ring

Ideals and Grobner basis

Find the basis for a kernel and the dimension of the image for a linear map

Groebner Basis question (ideals)

How do you solve a system of quadratic equations?

Gröbner basis of $f=x^2 y +xy^2 +y^2 $, $f_1 =y^2 -1$

Minimal set of generators for an algebraic variety (with Macaulay2)

How hard can it be to find generators for an ideal in a polynomial ring?

Is it possible that $G_j(=G\cap k[x_j,...,x_n])\neq \emptyset$ (where $G$ is a Groebner basis of $I$) but $G_j$ is not a Groebner basis of $I_j$?

Under what circumstances does the set $\bar G$ obtained by removing some elements of a Gröbner basis remain a Gröbner basis for $\langle\bar G\rangle$

S-polynomial of polynomials with relatively prime leading terms

Finding redundant equations in a underdetermined system of multivariate polynomial equations over $\Bbb R$

Are zero dimensional Ideals radical?

Groebner basis for system of integral quadratic forms

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