List questions from principal-ideal-domains

Published on 19 Aug 2016 - 12:07

254

Views

A UFD such that every prime ideal is contained in a principal proper ideal is a PID?

Published on 26 Mar 2026 - 14:22

953

Views

P-Primary Module Lemma and Examples

Published on 21 Aug 2016 - 11:56

28

Views

Domain $R$ s.t. for any proper ideal $I$ , $\mathcal F_I:=\{(x):x\in R , I \subseteq (x) \ne R\}$ is non-empty implies it contains a minimal element?

Published on 26 Mar 2026 - 11:01

321

Views

A question involving annihilators and prime elements of P.I.D.s.

Published on 22 Aug 2016 - 1:06

202

Views

Can we characterize all infinite PID s whose group of units is singleton?

Published on 26 Mar 2026 - 11:00

942

Views

All simple modules over a PID.

Published on 30 Aug 2016 - 13:51

232

Views

Maximal ideals of $B[y]$ where $B$ is PID.

Published on 09 Sep 2016 - 19:34

63

Views

Working with Principal Ideal Domains

Published on 14 Sep 2016 - 1:14

324

Views

Gröbner bases over $\mathbb{Z}[x]$

Published on 25 Mar 2026 - 13:53

79

Views

A particular euclidean function implies the domain is local?

Published on 25 Mar 2026 - 13:59

283

Views

Counting the elements of the quotient ring of a polynomial ring

Published on 22 Sep 2016 - 5:40

1.7k

Views

Polynomial of minimum degree definition?

Published on 22 Sep 2016 - 17:58

9.3k

Views

If $F$ is a field, then $F[x]$ is a principal ideal domain proof question

Published on 22 Sep 2016 - 18:34

3.7k

Views

Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question

Published on 22 Sep 2016 - 19:31

List Question

Confusion about uniqueness of the invariant factors of a finitely generated torsion module over PID

A UFD such that every prime ideal is contained in a principal proper ideal is a PID?

P-Primary Module Lemma and Examples

Domain $R$ s.t. for any proper ideal $I$ , $\mathcal F_I:=\{(x):x\in R , I \subseteq (x) \ne R\}$ is non-empty implies it contains a minimal element?

A question involving annihilators and prime elements of P.I.D.s.

Can we characterize all infinite PID s whose group of units is singleton?

All simple modules over a PID.

Maximal ideals of $B[y]$ where $B$ is PID.

Working with Principal Ideal Domains

Gröbner bases over $\mathbb{Z}[x]$

A particular euclidean function implies the domain is local?

Counting the elements of the quotient ring of a polynomial ring

Polynomial of minimum degree definition?

If $F$ is a field, then $F[x]$ is a principal ideal domain proof question

Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question

Trending Questions

Popular # Hahtags

Popular Questions