Question

Can a generating set for a polynomial ideal have less elements than a minimal Gröbner base?

score 159 · Answer 1 · 2026-04-29 12:51:32

159

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Can a generating set for a polynomial ideal have less elements than a minimal Gröbner base?

Published on 29 Apr 2026 - 12:51

score 55 · Answer 2 · 2026-04-29 12:43:02

55

Views

Simultaneous bases for free modules over PIDs?

Published on 29 Apr 2026 - 12:43

score 61 · Answer 3 · 2026-04-18 15:23:24

61

Views

A problem about the order of element in a group

Published on 18 Apr 2026 - 15:23

score 84 · Answer 4 · 2026-05-02 11:50:17

84

Views

If $E/k$ is not separable, but satisfies the property that there exists a positive integer $n$ for which every $\alpha \in E$ of degree less than $n$

Published on 02 May 2026 - 11:50

score 118 · Answer 5 · 2026-04-10 22:31:06

118

Views

Prime ring with identity and finite ideal

Published on 10 Apr 2026 - 22:31

score 2.3k · Answer 6 · 2026-04-15 17:49:08

2.3k

Views

Smallest ideal containing elements is the generated ideal

Published on 15 Apr 2026 - 17:49

score 478 · Answer 7 · 2026-04-17 11:14:59

478

Views

Suppose $Gal(K/Q)$ is the symmetric group $S_{n}$ with $n>2$. Show that if $n\geq 4$, then the $nth$ power of the roof of $f$ is not rational

Published on 17 Apr 2026 - 11:14

score 326 · Answer 8 · 2026-04-25 05:23:16

326

Views

Intuition/motivation behind t-cyclic subspaces

Published on 25 Apr 2026 - 5:23

score 155 · Answer 9 · 2026-04-16 00:29:25

155

Views

If $R=R_1 \times R_2$ then $R_1,R_2$ as right $R$-modules don't have isomorphic submodules.

Published on 16 Apr 2026 - 0:29

score 812 · Answer 10 · 2026-04-10 20:08:37

812

Views

Does base change preserve fibre products?

Published on 10 Apr 2026 - 20:08

score 284 · Answer 11 · 2026-04-16 11:00:38

284

Views

Composite of fields of the form $\sigma(K)$ is precisely $L$

Published on 16 Apr 2026 - 11:00

score 687 · Answer 12 · 2026-04-12 04:52:19

687

Views

Relationship of size of quotient group to matrix determinant

Published on 12 Apr 2026 - 4:52

score 133 · Answer 13 · 2026-04-12 03:10:18

133

Views

Proof, that factor of irreducible polynomial is irreducible over field defined by root of irreducible

Published on 12 Apr 2026 - 3:10

score 34 · Answer 14 · 2026-04-16 00:33:56

34

Views

Find the characteristic of the following field $F$.

Published on 16 Apr 2026 - 0:33

score 371 · Answer 15 · 2026-04-09 20:29:06

371

Views

Is it possible to imbed any ring into a semi-simple ring?

Published on 09 Apr 2026 - 20:29

List Question

Can a generating set for a polynomial ideal have less elements than a minimal Gröbner base?

Simultaneous bases for free modules over PIDs?

A problem about the order of element in a group

If $E/k$ is not separable, but satisfies the property that there exists a positive integer $n$ for which every $\alpha \in E$ of degree less than $n$

Prime ring with identity and finite ideal

Smallest ideal containing elements is the generated ideal

Suppose $Gal(K/Q)$ is the symmetric group $S_{n}$ with $n>2$. Show that if $n\geq 4$, then the $nth$ power of the roof of $f$ is not rational

Intuition/motivation behind t-cyclic subspaces

If $R=R_1 \times R_2$ then $R_1,R_2$ as right $R$-modules don't have isomorphic submodules.

Does base change preserve fibre products?

Composite of fields of the form $\sigma(K)$ is precisely $L$

Relationship of size of quotient group to matrix determinant

Proof, that factor of irreducible polynomial is irreducible over field defined by root of irreducible

Find the characteristic of the following field $F$.

Is it possible to imbed any ring into a semi-simple ring?

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