List questions from integral-extensions

288

Views

Lying Over Theorem + Is $\mathbf{C}[x] \hookrightarrow \mathbf{C}[x, y]/(xy-1)$ an integral extension?

Published on 02 May 2016 - 3:48

77

Views

Integral closure and $\bigcap \mathfrak{a}^n$

Published on 20 Jun 2016 - 23:48

52

Views

Factoring polynomials when roots are external to the ring

Published on 26 Jun 2016 - 18:25

209

Views

Examples of proper, non normal schemes

Published on 14 May 2017 - 12:29

1.2k

Views

Jacobson radical - Integral extension

Published on 21 Jun 2017 - 5:06

81

Views

Let $m(x)=\prod(x-r_i)$ . Why for every $i$ we have an automorphism of $F'/F$ which sends $r$ into $r_i$?

Published on 02 Jul 2017 - 17:59

689

Views

Showing tensor product of f.g. reduced $k$-algebras is reduced where I should assume $k$ algebraically closed?

Published on 31 Jul 2017 - 1:59

47

Views

A question on integral and algebraic elements

Published on 05 Aug 2017 - 13:57

245

Views

Integral extensions and regular local rings

Published on 13 Aug 2017 - 21:01

206

Views

Minimal polynomial in $\text{Frac}(A)[x]$ is in $A[x]$?

Published on 20 Aug 2017 - 20:04

138

Views

Field extension of domain

Published on 22 Aug 2017 - 10:42

2.3k

Views

Why does an integral extension over a ring has the same Krull dimension as the ring?

Published on 08 Sep 2017 - 20:14

1.1k

Views

Help proving that an finite morphism of schemes is a closed map

Published on 24 Sep 2017 - 12:58

216

Views

Recovering a finite morphism of dense open sets from a finite-type, generically finite morphism

Published on 27 Sep 2017 - 18:09

142

Views

Where does this proof of finite morphisms of schemes being quasi-finite fail?

Published on 28 Sep 2017 - 0:53

List Question

Lying Over Theorem + Is $\mathbf{C}[x] \hookrightarrow \mathbf{C}[x, y]/(xy-1)$ an integral extension?

Integral closure and $\bigcap \mathfrak{a}^n$

Factoring polynomials when roots are external to the ring

Examples of proper, non normal schemes

Jacobson radical - Integral extension

Let $m(x)=\prod(x-r_i)$ . Why for every $i$ we have an automorphism of $F'/F$ which sends $r$ into $r_i$?

Showing tensor product of f.g. reduced $k$-algebras is reduced where I should assume $k$ algebraically closed?

A question on integral and algebraic elements

Integral extensions and regular local rings

Minimal polynomial in $\text{Frac}(A)[x]$ is in $A[x]$?

Field extension of domain

Why does an integral extension over a ring has the same Krull dimension as the ring?

Help proving that an finite morphism of schemes is a closed map

Recovering a finite morphism of dense open sets from a finite-type, generically finite morphism

Where does this proof of finite morphisms of schemes being quasi-finite fail?

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