Question

In prime characteristic, is being $N$-1 a local property?

score 92 · Answer 1 · 2020-03-30 09:06:53

92

Views

In prime characteristic, is being $N$-1 a local property?

Published on 30 Mar 2020 - 9:06

score 236 · Answer 2 · 2020-03-30 17:10:19

236

Views

The stalk of the image sheaf on a normalization curve

Published on 30 Mar 2020 - 17:10

score 124 · Answer 3 · 2020-04-08 20:02:03

124

Views

On the intersection of integral closure of powers of an ideal

Published on 08 Apr 2020 - 20:02

score 78 · Answer 4 · 2020-04-13 05:55:04

78

Views

On integral closedness of the multiplication of a monomial integrally closed ideal with the homogeneous maximal ideal

Published on 13 Apr 2020 - 5:55

score 70 · Answer 5 · 2020-04-25 21:36:49

70

Views

On the colon ideal of a torsion-free module inside it's reflexive hull

Published on 25 Apr 2020 - 21:36

score 200 · Answer 6 · 2020-04-29 15:30:48

200

Views

Is the polynomial ring of elementary symmetric polynomials involving n variables over a field is integrally closed?

Published on 29 Apr 2020 - 15:30

score 41 · Answer 7 · 2020-04-29 16:48:01

41

Views

On the "largest ring extension" of a Noetherian domain inside fraction field that is module finite

Published on 29 Apr 2020 - 16:48

score 431 · Answer 8 · 2020-05-01 07:50:02

431

Views

If a finite group acts on an integral domain which is integrally closed, then the fixed point subring is also integrally closed

Published on 01 May 2020 - 7:50

score 119 · Answer 9 · 2020-05-02 11:27:36

119

Views

Galois group of $x^5-x-1$ over $\Bbb Q$ using integral extension ring theory

Published on 02 May 2020 - 11:27

score 153 · Answer 10 · 2020-06-04 06:33:48

153

Views

$A \subset B$ be a faithfully flat extension of domains and $B$ is integrally closed then $A$ is also integrally closed.

Published on 04 Jun 2020 - 6:33

score 201 · Answer 11 · 2020-06-09 15:24:01

201

Views

Trace of algebraic integer $\alpha$ that is in every prime ideal of $\mathcal{O}_K$ lying over $(p)$

Published on 09 Jun 2020 - 15:24

score 179 · Answer 12 · 2020-07-10 18:22:43

179

Views

Looking for an Alternative Proof of a Bound on the Number of Maximal Ideals in an Integral Extension Lying over a Maximal Ideal in the Base Ring

Published on 10 Jul 2020 - 18:22

score 238 · Answer 13 · 2020-07-26 18:50:24

238

Views

$\sqrt{2+\sqrt{2}}+\frac{1}{2}\sqrt[3]{3}$ is not integral over $\mathbb{Z}$ - solution check

Published on 26 Jul 2020 - 18:50

score 344 · Answer 14 · 2016-07-23 14:28:07

344

Views

Given a commutative ring $R$ and a monic polynomial $p(x) \in R[x]$ is $R[x]/\langle p(x) \rangle$ always a finite integral extension of $R$?

Published on 23 Jul 2016 - 14:28

score 436 · Answer 15 · 2016-07-23 15:02:04

436

Views

What are the conditions needed for two principal ideals of a ring to be isomorphic?

Published on 23 Jul 2016 - 15:02

List Question

In prime characteristic, is being $N$-1 a local property?

The stalk of the image sheaf on a normalization curve

On the intersection of integral closure of powers of an ideal

On integral closedness of the multiplication of a monomial integrally closed ideal with the homogeneous maximal ideal

On the colon ideal of a torsion-free module inside it's reflexive hull

Is the polynomial ring of elementary symmetric polynomials involving n variables over a field is integrally closed?

On the "largest ring extension" of a Noetherian domain inside fraction field that is module finite

If a finite group acts on an integral domain which is integrally closed, then the fixed point subring is also integrally closed

Galois group of $x^5-x-1$ over $\Bbb Q$ using integral extension ring theory

$A \subset B$ be a faithfully flat extension of domains and $B$ is integrally closed then $A$ is also integrally closed.

Trace of algebraic integer $\alpha$ that is in every prime ideal of $\mathcal{O}_K$ lying over $(p)$

Looking for an Alternative Proof of a Bound on the Number of Maximal Ideals in an Integral Extension Lying over a Maximal Ideal in the Base Ring

$\sqrt{2+\sqrt{2}}+\frac{1}{2}\sqrt[3]{3}$ is not integral over $\mathbb{Z}$ - solution check

Given a commutative ring $R$ and a monic polynomial $p(x) \in R[x]$ is $R[x]/\langle p(x) \rangle$ always a finite integral extension of $R$?

What are the conditions needed for two principal ideals of a ring to be isomorphic?

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