List questions from principal-ideal-domains

Published on 25 Mar 2026 - 17:20

7.8k

Views

Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID

Published on 30 Oct 2014 - 18:48

427

Views

Does the statement ''PID of dimension $0$ $\Longrightarrow$ field'' actually use Zorn's Lemma?

Published on 03 Nov 2014 - 20:45

337

Views

Challenging problem in Hungerford's $\textit{Algebra}$

Published on 07 Nov 2014 - 23:12

1.9k

Views

how can i prove that every subring of $\mathbb{Q}$ is PID?

Published on 09 Nov 2014 - 0:32

249

Views

PID and module problem

Published on 13 Nov 2014 - 4:22

736

Views

Torsion-free module morphism

Published on 13 Nov 2014 - 12:25

1.1k

Views

PID and finitely generated module

Published on 14 Nov 2014 - 3:01

60

Views

When is a holomorphy ring a PID?

Published on 24 Mar 2026 - 23:52

996

Views

Questions about ring of smooth functions

Published on 25 Nov 2014 - 1:10

121

Views

continuous poset w.r.t. Scott topology

Published on 25 Nov 2014 - 8:08

281

Views

Looking for help, Aluffi Exercise 5.13, Chapter 6: characterization of PIDs

Published on 26 Nov 2014 - 3:33

386

Views

When a holomorphy ring is a PID?

Published on 25 Mar 2026 - 1:32

885

Views

Factor $55 - 88 \sqrt{-2}$ as a product of primes in $\mathbb{Z}[\sqrt{-2}]$

Published on 01 Dec 2014 - 23:12

1.2k

Views

Finitely generated module over PID; Dummit and Foote, Exercise 12.1.12

Published on 26 Mar 2026 - 19:37

List Question

What exactly does it mean for a maximal ideal to be unique in a principal ideal domain?

Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID

Does the statement ''PID of dimension $0$ $\Longrightarrow$ field'' actually use Zorn's Lemma?

Challenging problem in Hungerford's $\textit{Algebra}$

how can i prove that every subring of $\mathbb{Q}$ is PID?

PID and module problem

Torsion-free module morphism

PID and finitely generated module

When is a holomorphy ring a PID?

Questions about ring of smooth functions

continuous poset w.r.t. Scott topology

Looking for help, Aluffi Exercise 5.13, Chapter 6: characterization of PIDs

When a holomorphy ring is a PID?

Factor $55 - 88 \sqrt{-2}$ as a product of primes in $\mathbb{Z}[\sqrt{-2}]$

Finitely generated module over PID; Dummit and Foote, Exercise 12.1.12

Trending Questions

Popular # Hahtags

Popular Questions