List questions from integral-domain

Published on 07 Nov 2016 - 19:26

551

Views

Part of proving R[x] is not a Euclidean domain given R is not a field

Published on 12 Nov 2016 - 2:30

284

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$\mathbb{R}[x,y,z]/(x^2+y^2+z^2)$ is a field or just an integral domain

Published on 21 Nov 2016 - 6:52

952

Views

Proving the ring of formal power series over a finite field is integral domain.

Published on 26 Mar 2026 - 11:18

133

Views

Proving ring of FPS is not a field

Published on 26 Mar 2026 - 8:15

122

Views

Showing elements in a Euclidean domain are coprime

Published on 29 Nov 2016 - 17:42

358

Views

characterization of unique factorization domain

Published on 02 Dec 2016 - 4:58

372

Views

Why is integral over a domain invariant?

Published on 25 Mar 2026 - 17:37

1.3k

Views

If $R$ is commutative ring with identity, prove that $R$ is and integral domain iff cancelation holds in $R$

Published on 10 Dec 2016 - 11:11

256

Views

The ring of real "entire" functions: gcd domain?

Published on 16 Dec 2016 - 23:33

2.8k

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When does sum of two units give a unit?

Published on 21 Dec 2016 - 21:21

384

Views

$(X)$ is (not) a prime ideal in the ring of integer-valued polynomials

Published on 29 Dec 2016 - 18:24

676

Views

In a finite integral domain, is the inverse of every element a positive power of that element?

Published on 01 Jan 2017 - 15:39

827

Views

About a type of integral domains

Published on 05 Jan 2017 - 14:21

29

Views

Region Of This Surface Area?

Published on 19 Jan 2017 - 1:07

List Question

Prove if $z \in \mathbb{Z}{[i]}$ such that $N(z)$ is a prime number then $z$ is irreducible.

Part of proving R[x] is not a Euclidean domain given R is not a field

$\mathbb{R}[x,y,z]/(x^2+y^2+z^2)$ is a field or just an integral domain

Proving the ring of formal power series over a finite field is integral domain.

Proving ring of FPS is not a field

Showing elements in a Euclidean domain are coprime

characterization of unique factorization domain

Why is integral over a domain invariant?

If $R$ is commutative ring with identity, prove that $R$ is and integral domain iff cancelation holds in $R$

The ring of real "entire" functions: gcd domain?

When does sum of two units give a unit?

$(X)$ is (not) a prime ideal in the ring of integer-valued polynomials

In a finite integral domain, is the inverse of every element a positive power of that element?

About a type of integral domains

Region Of This Surface Area?

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