Question

$X\to X/G$ is a finite morphism

score 93 · Answer 1 · 2017-10-15 13:16:31

93

Views

$X\to X/G$ is a finite morphism

Published on 15 Oct 2017 - 13:16

score 71 · Answer 2 · 2017-10-21 14:52:24

71

Views

Is $\mathbb{C}[x] \subseteq \mathbb{C}[x, y]/(y^4 + y^3 + y^2 + y + 1)$ an integral ring extension?

Published on 21 Oct 2017 - 14:52

score 342 · Answer 3 · 2017-11-14 07:35:14

342

Views

When is a ring extension satisfying Going-Up and incomparability property , an integral extension?

Published on 14 Nov 2017 - 7:35

score 583 · Answer 4 · 2017-11-20 18:11:42

583

Views

For non-algebraically closed field $k$ and integer $n>1$, there is a polynomial in $n$-variables over $k$ having only one zero in $k^n$

Published on 20 Nov 2017 - 18:11

score 570 · Answer 5 · 2017-11-21 21:19:41

570

Views

Non-flatness of $k[t]$ as a $k[t^2,t^3]$-module

Published on 21 Nov 2017 - 21:19

score 86 · Answer 6 · 2017-11-22 04:51:52

86

Views

$R=k[X] , f \in R$ . Let $A=k[X,Y]/(Y^2-f)$ . If $f$ has no square factor , then $A$ is a normal domain

Published on 22 Nov 2017 - 4:51

score 35 · Answer 7 · 2017-11-26 12:01:07

35

Views

$p \subset q$ are two distinct elements of $\mathrm{Spec}(R)$ and $K=Q(R/p),$ then $K$ is not finitely generated as $R$-module.

Published on 26 Nov 2017 - 12:01

score 376 · Answer 8 · 2020-08-13 16:51:20

376

Views

Geometric characterization of integral ring extensions

Published on 13 Aug 2020 - 16:51

score 104 · Answer 9 · 2020-09-29 16:48:42

104

Views

Details of the proof of Going-up theorem

Published on 29 Sep 2020 - 16:48

score 376 · Answer 10 · 2020-10-28 09:47:02

376

Views

Extension of a maximal ideal

Published on 28 Oct 2020 - 9:47

score 227 · Answer 11 · 2020-11-09 14:37:10

227

Views

Jacobson radical of a finitely generated algebra (A-M 5.22)

Published on 09 Nov 2020 - 14:37

score 87 · Answer 12 · 2020-11-12 18:12:08

87

Views

When does the cokernel of the map from a domain into its normalization have finite length?

Published on 12 Nov 2020 - 18:12

score 199 · Answer 13 · 2020-12-17 20:18:56

199

Views

For a recursion based on $x+y+z+2\sqrt{xy+yz+zx},$ does what happens in $\mathbb Z\left[\sqrt n\right]$ stay in $\mathbb Z\left[\sqrt n\right]$?

Published on 17 Dec 2020 - 20:18

score 90 · Answer 14 · 2021-01-12 17:31:27

90

Views

Finite birational extension of $1$-dimensional Cohen-Macaulay ring

Published on 12 Jan 2021 - 17:31

score 60 · Answer 15 · 2021-01-16 06:59:07

60

Views

$1$-dimensional local Cohen--Macaulay ring whose normalisation is a module finite extension

Published on 16 Jan 2021 - 6:59

List Question

$X\to X/G$ is a finite morphism

Is $\mathbb{C}[x] \subseteq \mathbb{C}[x, y]/(y^4 + y^3 + y^2 + y + 1)$ an integral ring extension?

When is a ring extension satisfying Going-Up and incomparability property , an integral extension?

For non-algebraically closed field $k$ and integer $n>1$, there is a polynomial in $n$-variables over $k$ having only one zero in $k^n$

Non-flatness of $k[t]$ as a $k[t^2,t^3]$-module

$R=k[X] , f \in R$ . Let $A=k[X,Y]/(Y^2-f)$ . If $f$ has no square factor , then $A$ is a normal domain

$p \subset q$ are two distinct elements of $\mathrm{Spec}(R)$ and $K=Q(R/p),$ then $K$ is not finitely generated as $R$-module.

Geometric characterization of integral ring extensions

Details of the proof of Going-up theorem

Extension of a maximal ideal

Jacobson radical of a finitely generated algebra (A-M 5.22)

When does the cokernel of the map from a domain into its normalization have finite length?

For a recursion based on $x+y+z+2\sqrt{xy+yz+zx},$ does what happens in $\mathbb Z\left[\sqrt n\right]$ stay in $\mathbb Z\left[\sqrt n\right]$?

Finite birational extension of $1$-dimensional Cohen-Macaulay ring

$1$-dimensional local Cohen--Macaulay ring whose normalisation is a module finite extension

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