Question

Help Understanding Proof about Dimension Theory

score 153 · Answer 1 · 2026-03-27 14:36:19

153

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Help Understanding Proof about Dimension Theory

Published on 27 Mar 2026 - 14:36

score 68 · Answer 2 · 2026-03-25 06:13:07

68

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The multiplicity of the intersection of two curves is the dimension of a certain vector space.

Published on 25 Mar 2026 - 6:13

score 144 · Answer 3 · 2019-08-05 18:03:19

144

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Using the snake lemma to prove that if $N$ and $M/N$ are finitely generated, then so is $M$.

Published on 05 Aug 2019 - 18:03

score 1.3k · Answer 4 · 2026-04-09 11:22:43

1.3k

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Macaulay2: How to compute the remainder when dividing a polynomial by a set of polynomials (in some order)?

Published on 09 Apr 2026 - 11:22

score 1k · Answer 5 · 2019-08-06 12:15:43

1k

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Why the extension $L/K$ is ramified in exactly those primes that divide the relative discriminant?

Published on 06 Aug 2019 - 12:15

score 161 · Answer 6 · 2026-04-12 03:38:46

161

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Localization and depth; Can anyone help me to solve below exercise?

Published on 12 Apr 2026 - 3:38

score 62 · Answer 7 · 2026-04-11 05:47:31

62

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Non-maximal prime ideal that is maximal among prime ideals

Published on 11 Apr 2026 - 5:47

score 166 · Answer 8 · 2026-03-28 02:44:51

166

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Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Published on 28 Mar 2026 - 2:44

score 53 · Answer 9 · 2026-04-09 17:21:46

53

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Finitely generated $\mathbb{Z}/p^n\mathbb{Z}$-algebra

Published on 09 Apr 2026 - 17:21

score 481 · Answer 10 · 2026-04-01 20:49:23

481

Views

Any two minimal free resolutions of an R-module are isomorphic

Published on 01 Apr 2026 - 20:49

score 143 · Answer 11 · 2019-08-06 23:44:40

143

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Is my proof correct? Iwant to show that $\operatorname{Ass}_R(\dfrac{R}{xR})=\operatorname{Ass}_R(\dfrac{R}{x^3R})$

Published on 06 Aug 2019 - 23:44

score 79 · Answer 12 · 2019-08-07 22:38:21

79

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A finitely generated algebra with the same number of prime ideals as the base ring is finitely presented

Published on 07 Aug 2019 - 22:38

score 214 · Answer 13 · 2026-04-11 10:08:29

214

Views

Help with the model theoretic proof of the Nullstellensatz?

Published on 11 Apr 2026 - 10:08

score 153 · Answer 14 · 2026-03-31 22:43:49

153

Views

Characterize the determinant function on a commutative ring with identity.

Published on 31 Mar 2026 - 22:43

score 80 · Answer 15 · 2019-08-08 08:18:43

80

Views

Finite generated domains are finite domains

Published on 08 Aug 2019 - 8:18

List Question

Help Understanding Proof about Dimension Theory

The multiplicity of the intersection of two curves is the dimension of a certain vector space.

Using the snake lemma to prove that if $N$ and $M/N$ are finitely generated, then so is $M$.

Macaulay2: How to compute the remainder when dividing a polynomial by a set of polynomials (in some order)?

Why the extension $L/K$ is ramified in exactly those primes that divide the relative discriminant?

Localization and depth; Can anyone help me to solve below exercise?

Non-maximal prime ideal that is maximal among prime ideals

Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Finitely generated $\mathbb{Z}/p^n\mathbb{Z}$-algebra

Any two minimal free resolutions of an R-module are isomorphic

Is my proof correct? Iwant to show that $\operatorname{Ass}_R(\dfrac{R}{xR})=\operatorname{Ass}_R(\dfrac{R}{x^3R})$

A finitely generated algebra with the same number of prime ideals as the base ring is finitely presented

Help with the model theoretic proof of the Nullstellensatz?

Characterize the determinant function on a commutative ring with identity.

Finite generated domains are finite domains

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