List questions from integral-extensions

Published on 17 Aug 2019 - 15:35

248

Views

Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

Published on 27 Aug 2019 - 12:44

69

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Existence of maximal ideal lying over and residue of element equals root of minimal polynomial

Published on 29 Aug 2019 - 10:13

231

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Noether Normalization lemma for $k[x,y]\times k[z]$

Published on 03 Sep 2019 - 11:41

368

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When is the trace of an integral element of an algebra integral?

Published on 15 Sep 2019 - 12:55

161

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Integral closure of pull-back of an ideal via a birational, finite morphism of rings

Published on 15 Oct 2019 - 8:15

209

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On the integral closure of Noetherian local domain in a finite extension field of the fraction field

Published on 26 Nov 2019 - 2:00

55

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Concerning the ring extension $A[a^{-1}] \subseteq B[a^{-1}] \subseteq C[a^{-1}]$

Published on 27 Nov 2019 - 21:11

559

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Easy examples of integrally closed non-factorial domains?

Published on 08 Jan 2020 - 7:25

188

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On the intersection of integral closures of all powers of maximal ideal

Published on 11 Jan 2020 - 2:24

55

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A question about integral ring extension

Published on 25 Jan 2020 - 1:15

243

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Is $R[X,Y]/(XY-1)$ a finitely generated $R[X]$-module?

Published on 26 Feb 2020 - 1:44

65

Views

Extending "the ring of exponents" from $\Bbb{Z}$ to that which contains a solution to $4^x - 3 = 0 \pmod 5$?

Published on 09 Mar 2020 - 2:25

71

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Is the normal fiber cone of any $\mathfrak m$-primary ideal Noetherian?

Published on 26 Mar 2020 - 7:48

133

Views

If every subring of $S$ containing $v\in S$ is ring-finite over $R,$ is $v$ necessarily integral over $R$?

Published on 27 Mar 2020 - 2:13

List Question

$\mathbb{R}[x,y]/(x^2+y^2-1)$ is integrally closed.

Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

Existence of maximal ideal lying over and residue of element equals root of minimal polynomial

Noether Normalization lemma for $k[x,y]\times k[z]$

When is the trace of an integral element of an algebra integral?

Integral closure of pull-back of an ideal via a birational, finite morphism of rings

On the integral closure of Noetherian local domain in a finite extension field of the fraction field

Concerning the ring extension $A[a^{-1}] \subseteq B[a^{-1}] \subseteq C[a^{-1}]$

Easy examples of integrally closed non-factorial domains?

On the intersection of integral closures of all powers of maximal ideal

A question about integral ring extension

Is $R[X,Y]/(XY-1)$ a finitely generated $R[X]$-module?

Extending "the ring of exponents" from $\Bbb{Z}$ to that which contains a solution to $4^x - 3 = 0 \pmod 5$?

Is the normal fiber cone of any $\mathfrak m$-primary ideal Noetherian?

If every subring of $S$ containing $v\in S$ is ring-finite over $R,$ is $v$ necessarily integral over $R$?

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