Question

Prove $(0) = (x)\cap (xz^{n-1} + \lambda y^n)$ in $R=\frac{k[x,y,z]}{(x^2,xy)}$

score 127 · Answer 1 · 2026-03-25 09:29:13

127

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Prove $(0) = (x)\cap (xz^{n-1} + \lambda y^n)$ in $R=\frac{k[x,y,z]}{(x^2,xy)}$

Published on 25 Mar 2026 - 9:29

score 115 · Answer 2 · 2026-03-25 03:00:46

115

Views

Concerning the ring of continuous functions on $\mathbb{R}$

Published on 25 Mar 2026 - 3:00

score 77 · Answer 3 · 2026-03-25 02:26:14

77

Views

Background of Commutative Algebra for Cohen-Macaulay orders and bibliography

Published on 25 Mar 2026 - 2:26

score 92 · Answer 4 · 2026-03-30 04:39:57

92

Views

Is this a correct solution to show that the ring $\mathbb{R}[x]$ does not embed in $\mathbb{C}$

Published on 30 Mar 2026 - 4:39

score 240 · Answer 5 · 2026-03-26 01:03:15

240

Views

localization of a polynomial ring at a prime ideal

Published on 26 Mar 2026 - 1:03

score 47 · Answer 6 · 2026-03-25 18:45:54

47

Views

Does $\operatorname{length}(M/xM) \leq \operatorname{rank}(M) \cdot \operatorname{length}(R/(x))$ hold over non-integral rings $R$?

Published on 25 Mar 2026 - 18:45

score 1.2k · Answer 7 · 2026-03-29 21:40:52

1.2k

Views

Let R be a commutative ring, and I, J denote two ideals in R such that I + J = R. Is it true that IJ = I ∩ J?

Published on 29 Mar 2026 - 21:40

score 201 · Answer 8 · 2018-12-11 01:04:55

201

Views

Rational function representation in the field of fractions of an integral domain

Published on 11 Dec 2018 - 1:04

score 44 · Answer 9 · 2026-03-25 09:33:30

44

Views

Constructing injection into injective group

Published on 25 Mar 2026 - 9:33

score 210 · Answer 10 · 2026-03-25 12:27:08

210

Views

Conceptual explanation for the identity of Hochschild about derivations

Published on 25 Mar 2026 - 12:27

score 104 · Answer 11 · 2026-03-25 09:28:17

104

Views

Action of finite group of ring automorphisms

Published on 25 Mar 2026 - 9:28

score 134 · Answer 12 · 2018-12-12 14:09:54

134

Views

Handbook of basic algebra

Published on 12 Dec 2018 - 14:09

score 128 · Answer 13 · 2026-03-31 05:59:27

128

Views

Extension of modules forms a set

Published on 31 Mar 2026 - 5:59

score 73 · Answer 14 · 2026-03-26 01:07:55

73

Views

Question about the ring $A_P$ of regular functions on a variety $V$

Published on 26 Mar 2026 - 1:07

score 110 · Answer 15 · 2026-03-29 23:27:16

110

Views

When $\langle F(x,y)y+u(x)(x-c), G(x,y)y+v(x)(x-c) \rangle$ is a maximal ideal of $\mathbb{C}[x,y]$?

Published on 29 Mar 2026 - 23:27

List Question

Prove $(0) = (x)\cap (xz^{n-1} + \lambda y^n)$ in $R=\frac{k[x,y,z]}{(x^2,xy)}$

Concerning the ring of continuous functions on $\mathbb{R}$

Background of Commutative Algebra for Cohen-Macaulay orders and bibliography

Is this a correct solution to show that the ring $\mathbb{R}[x]$ does not embed in $\mathbb{C}$

localization of a polynomial ring at a prime ideal

Does $\operatorname{length}(M/xM) \leq \operatorname{rank}(M) \cdot \operatorname{length}(R/(x))$ hold over non-integral rings $R$?

Let R be a commutative ring, and I, J denote two ideals in R such that I + J = R. Is it true that IJ = I ∩ J?

Rational function representation in the field of fractions of an integral domain

Constructing injection into injective group

Conceptual explanation for the identity of Hochschild about derivations

Action of finite group of ring automorphisms

Handbook of basic algebra

Extension of modules forms a set

Question about the ring $A_P$ of regular functions on a variety $V$

When $\langle F(x,y)y+u(x)(x-c), G(x,y)y+v(x)(x-c) \rangle$ is a maximal ideal of $\mathbb{C}[x,y]$?

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