List questions from integral-domain

Published on 23 Feb 2026 - 19:19

136

Views

The integral closure is normal

Published on 24 Apr 2017 - 22:01

399

Views

A certain integral domain is not a unique factorization domain.

Published on 27 Apr 2017 - 17:43

166

Views

Why the set of maximal ideal of a domain with jacobson radical zero is infinite?

Published on 02 May 2017 - 10:01

489

Views

Showing $\langle 2x+1,5\rangle$ is a maximal ideal

Published on 06 May 2017 - 23:02

101

Views

Invertible elements in $\mathbb{C}[x,y][a^{-1}]$, $a \in \mathbb{C}[x,y]-\mathbb{C}$

Published on 08 May 2017 - 12:13

156

Views

Why Jacobson radical of a cyclic module over integral domain $R$ such that $\mathrm{Rad}(R)=(0)$ is zero?

Published on 13 May 2017 - 6:56

844

Views

How big can the set of units of an integral domain (with $\mathbf{1}\neq \mathbf{0}$) be?

Published on 17 May 2017 - 15:10

640

Views

Problem with definition of unique factorization domain (UFD)

Published on 18 May 2017 - 8:59

183

Views

Showing that an element of a polynomial ring is irreducible

Published on 27 May 2017 - 7:07

319

Views

Is an infinite field always isomorphic to a non-trivial fraction field?

Published on 31 May 2017 - 21:02

303

Views

Finding bounds to solve integral over domain.

Published on 01 Jun 2017 - 18:39

461

Views

3D Domain for a triple integral

Published on 13 Jun 2017 - 15:17

103

Views

What parametrization should I use for this double integral?

Published on 13 Jun 2017 - 19:21

165

Views

Integral domains $R$ such that any ring $R \subset S \subset K$ is Noetherian

Published on 25 Jun 2017 - 21:07

List Question

Form of a typical element in a finite ring

The integral closure is normal

A certain integral domain is not a unique factorization domain.

Why the set of maximal ideal of a domain with jacobson radical zero is infinite?

Showing $\langle 2x+1,5\rangle$ is a maximal ideal

Invertible elements in $\mathbb{C}[x,y][a^{-1}]$, $a \in \mathbb{C}[x,y]-\mathbb{C}$

Why Jacobson radical of a cyclic module over integral domain $R$ such that $\mathrm{Rad}(R)=(0)$ is zero?

How big can the set of units of an integral domain (with $\mathbf{1}\neq \mathbf{0}$) be?

Problem with definition of unique factorization domain (UFD)

Showing that an element of a polynomial ring is irreducible

Is an infinite field always isomorphic to a non-trivial fraction field?

Finding bounds to solve integral over domain.

3D Domain for a triple integral

What parametrization should I use for this double integral?

Integral domains $R$ such that any ring $R \subset S \subset K$ is Noetherian

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