List questions from integral-extensions

Published on 28 Jan 2019 - 18:49

52

Views

On Noetherian domains whose proper submodules of the fraction field are projective

Published on 29 Jan 2019 - 23:31

611

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Contraction of a maximal ideal is maximal in a particular case.

Published on 17 Feb 2019 - 1:13

495

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$K[X]_X$ is not integral over $K[X]$

Published on 06 Mar 2019 - 12:04

267

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$A \subset B$ be integral and flat extension then it is faithfully flat.

Published on 17 Mar 2019 - 12:20

73

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Integral extension of local rings of projective varieties

Published on 26 Mar 2019 - 20:42

202

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For an integral extension $A \subseteq B$, $\sqrt{IB}\cap A=\sqrt{I}$

Published on 08 Apr 2019 - 3:17

359

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If $Q \in\mathrm{Spec}(B)$ is the unique prime ideal lying over $P \in\mathrm{Spec}(A)$, then $B_P=B_Q$.

Published on 08 Apr 2019 - 8:13

116

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$K[x+y] \subseteq K[x, y]/(xy-1)$ is an integral extension

Published on 08 Apr 2019 - 21:30

52

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Example of integral extension of degree $p$?

Published on 18 Apr 2019 - 10:49

27

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An equation defined by norm

Published on 24 Apr 2019 - 14:31

55

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How does $(\mathfrak {B_2} / \mathfrak {B_1}) \cap (R/ \mathfrak p) = (0)$?

Published on 25 Apr 2019 - 3:55

104

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Why is the map $\varphi$ closed?

Published on 26 Apr 2019 - 17:24

226

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Prime ideals lying over a P.I.D

Published on 21 Jul 2019 - 15:45

191

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Integral extension of domains implies algebraic extension of their fraction fields

Published on 03 Aug 2019 - 20:25

List Question

The set of integral elements form a ring.

On Noetherian domains whose proper submodules of the fraction field are projective

Contraction of a maximal ideal is maximal in a particular case.

$K[X]_X$ is not integral over $K[X]$

$A \subset B$ be integral and flat extension then it is faithfully flat.

Integral extension of local rings of projective varieties

For an integral extension $A \subseteq B$, $\sqrt{IB}\cap A=\sqrt{I}$

If $Q \in\mathrm{Spec}(B)$ is the unique prime ideal lying over $P \in\mathrm{Spec}(A)$, then $B_P=B_Q$.

$K[x+y] \subseteq K[x, y]/(xy-1)$ is an integral extension

Example of integral extension of degree $p$?

An equation defined by norm

How does $(\mathfrak {B_2} / \mathfrak {B_1}) \cap (R/ \mathfrak p) = (0)$?

Why is the map $\varphi$ closed?

Prime ideals lying over a P.I.D

Integral extension of domains implies algebraic extension of their fraction fields

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