List questions from integral-domain

Published on 13 Dec 2021 - 18:45

545

Views

Is $\Bbb Z_4 [X]$ an integral domain?

Published on 29 Mar 2026 - 10:15

58

Views

Is there an Integral domain that is a GCD domain but NOT a UFD?

Published on 25 Dec 2021 - 8:06

195

Views

Ring of invariants preserves normality

Published on 17 Jan 2022 - 9:58

59

Views

What are some simple examples of "ID-only" rings? integral domains, that are neither atomic nor Noether nor Prüfer...

Published on 24 Jan 2022 - 7:53

108

Views

Show that the ring $\mathbb{Z}[\sqrt 2]$ is a Euclidean ring.

Published on 24 Jan 2022 - 20:37

20

Views

Question related to infinitely generated ideals

Published on 29 Jan 2022 - 4:16

116

Views

Monic polynomial of degree 2 or 3 in arbitrary integral domain

Published on 02 Feb 2022 - 22:16

51

Views

Irreducible polynomials over non-UFD

Published on 03 Feb 2022 - 0:28

137

Views

If $a$ is reducible, then is $a$ necessarily a non-unit?

Published on 17 Feb 2022 - 16:27

52

Views

characteristic $0$ of a finitely generated domain is free

Published on 25 Feb 2022 - 1:13

36

Views

existence of a linear onto map of a finitely generated domain implies it's a finite field

Published on 25 Feb 2022 - 1:22

2.3k

Views

Rewrite the integral in the order dy dz dx

Published on 21 Mar 2022 - 9:56

110

Views

Does the ring $k[x,y,z,w]/(wx-yz)$ contain nonconstant invertible polynomial?

Published on 26 Mar 2022 - 13:52

108

Views

A question related to normality of subring of a normal ring

Published on 29 Mar 2022 - 14:10

List Question

Proof that in an integral domain every prime element is irreducible

Is $\Bbb Z_4 [X]$ an integral domain?

Is there an Integral domain that is a GCD domain but NOT a UFD?

Ring of invariants preserves normality

What are some simple examples of "ID-only" rings? integral domains, that are neither atomic nor Noether nor Prüfer...

Show that the ring $\mathbb{Z}[\sqrt 2]$ is a Euclidean ring.

Question related to infinitely generated ideals

Monic polynomial of degree 2 or 3 in arbitrary integral domain

Irreducible polynomials over non-UFD

If $a$ is reducible, then is $a$ necessarily a non-unit?

characteristic $0$ of a finitely generated domain is free

existence of a linear onto map of a finitely generated domain implies it's a finite field

Rewrite the integral in the order dy dz dx

Does the ring $k[x,y,z,w]/(wx-yz)$ contain nonconstant invertible polynomial?

A question related to normality of subring of a normal ring

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