List questions from integral-domain

Published on 22 Jan 2016 - 5:19

936

Views

Prove whether R is integral domain.

Published on 23 Jan 2016 - 17:10

306

Views

Show that the set of all principal ideals is an equivalence class of the relation $\sim$

Published on 10 Feb 2016 - 1:53

264

Views

nilpotent endomorphism on finitely generated modules over a domain

Published on 27 Mar 2026 - 2:34

464

Views

$R$ be an infinite commutative ring with unity such that for every non-zero ideal $I$ , $R/I$ is finite ; then is $R$ a PID or at least Noetherian?

Published on 17 Feb 2016 - 14:47

1.1k

Views

$R$ be a commutative ring with unity such that every prime ideal contains no non-zero zero divisor , then is $R$ an integral domain?

Published on 20 Feb 2016 - 10:36

2k

Views

use the definition for an integral domain to prove that Z7 is an integral domain

Published on 23 Feb 2016 - 2:22

1k

Views

Definition of gcd's in Euclidean domains

Published on 07 Mar 2016 - 17:07

8.9k

Views

How to show every field is a Euclidean Domain.

Published on 10 Mar 2016 - 6:59

721

Views

If any two nonzero elements of an integral domain R are associates, prove that R is a field?

Published on 11 Mar 2016 - 4:51

48

Views

How to look for following problem in Ring theory?

Published on 13 Mar 2016 - 17:09

1.1k

Views

Is the property of being a UFD preserved under quotients by prime ideals?

Published on 13 Mar 2016 - 21:45

3k

Views

Identifying units in a polynomial ring

Published on 14 Mar 2016 - 21:44

1.7k

Views

Prime ideal and maximal ideal of an integral domain

Published on 15 Mar 2016 - 5:00

310

Views

The type automorphisms over $D[X]$, where $D$ is an integral domain.

Published on 16 Mar 2016 - 23:20

List Question

the associate of a prime is prime in integral domain

Prove whether R is integral domain.

Show that the set of all principal ideals is an equivalence class of the relation $\sim$

nilpotent endomorphism on finitely generated modules over a domain

$R$ be an infinite commutative ring with unity such that for every non-zero ideal $I$ , $R/I$ is finite ; then is $R$ a PID or at least Noetherian?

$R$ be a commutative ring with unity such that every prime ideal contains no non-zero zero divisor , then is $R$ an integral domain?

use the definition for an integral domain to prove that Z7 is an integral domain

Definition of gcd's in Euclidean domains

How to show every field is a Euclidean Domain.

If any two nonzero elements of an integral domain R are associates, prove that R is a field?

How to look for following problem in Ring theory?

Is the property of being a UFD preserved under quotients by prime ideals?

Identifying units in a polynomial ring

Prime ideal and maximal ideal of an integral domain

The type automorphisms over $D[X]$, where $D$ is an integral domain.

Trending Questions

Popular # Hahtags

Popular Questions