Question

Does the vector space spanned by a Gröbner basis depend on the monomial order?

score 94 · Answer 1 · 2026-03-25 07:41:37

94

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Does the vector space spanned by a Gröbner basis depend on the monomial order?

Published on 25 Mar 2026 - 7:41

score 46 · Answer 2 · 2026-04-05 16:17:54

46

Views

Reducing an approximation claim from a prime ideal to a maximal ideal

Published on 05 Apr 2026 - 16:17

score 69 · Answer 3 · 2019-02-15 18:33:05

69

Views

In a commutative, Noetherian ring, $d(A/J) = d(A/{J^{m}})$

Published on 15 Feb 2019 - 18:33

score 104 · Answer 4 · 2026-03-30 11:37:47

104

Views

Show that $\Bbb Z[\alpha,4/\alpha]/(2)$ is a direct product of three domains, where $\alpha^3+\alpha^2-2\alpha+8=0$

Published on 30 Mar 2026 - 11:37

score 94 · Answer 5 · 2019-02-16 05:34:08

94

Views

The existence of a linear map onto an affine algebraic set

Published on 16 Feb 2019 - 5:34

score 179 · Answer 6 · 2019-02-16 17:30:40

179

Views

Problem in understanding Nakayama's lemma.

Published on 16 Feb 2019 - 17:30

score 30 · Answer 7 · 2019-02-16 19:26:36

30

Views

How to prove this preliminary result for Noether Normalization Lemma?

Published on 16 Feb 2019 - 19:26

score 377 · Answer 8 · 2026-03-25 09:38:13

377

Views

Finite Morphisms between Varieties have Finite Fibers

Published on 25 Mar 2026 - 9:38

score 612 · Answer 9 · 2026-02-23 04:22:01

612

Views

Contraction of a maximal ideal is maximal in a particular case.

Published on 23 Feb 2026 - 4:22

score 64 · Answer 10 · 2026-04-01 11:59:24

64

Views

Why is $k[x_1] \to A$ not finite and $\phi(y)=x_1+x_2$ finite?

Published on 01 Apr 2026 - 11:59

score 258 · Answer 11 · 2026-04-01 06:30:14

258

Views

Base Change Preserves Flatness

Published on 01 Apr 2026 - 6:30

score 62 · Answer 12 · 2026-03-29 04:41:29

62

Views

How to prove that $\dim_k(k[x_1,\dotsc,x_n]/\sqrt{I})=|V(I)|$?

Published on 29 Mar 2026 - 4:41

score 195 · Answer 13 · 2026-03-26 04:34:04

195

Views

Is $\mathbb{C}[[t]]$ isomorphic to the localization of $\mathbb{C}[t]$ at the maximal ideal $(t)$?

Published on 26 Mar 2026 - 4:34

score 195 · Answer 14 · 2026-04-02 01:26:06

195

Views

Prove polynomial ring over a discrete valuation ring quotient by powers of maximal ideal is regular?

Published on 02 Apr 2026 - 1:26

score 1.4k · Answer 15 · 2026-03-25 07:54:28

1.4k

Views

$\mathfrak a$-adic Completion of a Ring is Flat

Published on 25 Mar 2026 - 7:54

List Question

Does the vector space spanned by a Gröbner basis depend on the monomial order?

Reducing an approximation claim from a prime ideal to a maximal ideal

In a commutative, Noetherian ring, $d(A/J) = d(A/{J^{m}})$

Show that $\Bbb Z[\alpha,4/\alpha]/(2)$ is a direct product of three domains, where $\alpha^3+\alpha^2-2\alpha+8=0$

The existence of a linear map onto an affine algebraic set

Problem in understanding Nakayama's lemma.

How to prove this preliminary result for Noether Normalization Lemma?

Finite Morphisms between Varieties have Finite Fibers

Contraction of a maximal ideal is maximal in a particular case.

Why is $k[x_1] \to A$ not finite and $\phi(y)=x_1+x_2$ finite?

Base Change Preserves Flatness

How to prove that $\dim_k(k[x_1,\dotsc,x_n]/\sqrt{I})=|V(I)|$?

Is $\mathbb{C}[[t]]$ isomorphic to the localization of $\mathbb{C}[t]$ at the maximal ideal $(t)$?

Prove polynomial ring over a discrete valuation ring quotient by powers of maximal ideal is regular?

$\mathfrak a$-adic Completion of a Ring is Flat

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