List questions from unique-factorization-domains

Published on 22 Sep 2015 - 11:24

7.1k

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Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD

Published on 24 Sep 2015 - 1:16

53

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Does $\mathbb{Z}/p^2\mathbb{Z}[x]$ have unique factorisation?

Published on 03 Oct 2015 - 10:07

1.4k

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Is the ring of formal power series in infinitely many variables a unique factorization domain?

Published on 13 Oct 2015 - 8:02

1.2k

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Is a localization of a UFD at a prime ideal a PID?

Published on 14 Oct 2015 - 2:32

32

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$f(x)$ has factor $x-a$ iff $R$ is UFD?

Published on 15 Oct 2015 - 15:29

363

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Understanding the definition of Unique Factorization Domains

Published on 16 Oct 2015 - 3:07

125

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Question in proving "Any principal ideal domain is a unique factorization domain"

Published on 29 Oct 2015 - 3:23

272

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Intersection of Height One Primary Ideals is Principal

Published on 09 Nov 2015 - 12:34

112

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Abstract algebra - UFDs

Published on 12 Nov 2015 - 8:07

1k

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In stacks project: Polynomial ring over UFD is UFD

Published on 19 Nov 2015 - 17:38

161

Views

Unique Factorization proof with GCD

Published on 09 Mar 2026 - 20:01

99

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Primitive polynomial is prime if its image in field of fractions is prime

Published on 26 Nov 2015 - 22:55

386

Views

Factor Theorem in Unique Factorization Domain

Published on 04 Dec 2015 - 6:34

169

Views

Conflict between Gauss' theorem and the example $\mathbb{Z}[\sqrt{-5}]$

Published on 07 Dec 2015 - 8:28

List Question

Does UFD imply ACC?

Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD

Does $\mathbb{Z}/p^2\mathbb{Z}[x]$ have unique factorisation?

Is the ring of formal power series in infinitely many variables a unique factorization domain?

Is a localization of a UFD at a prime ideal a PID?

$f(x)$ has factor $x-a$ iff $R$ is UFD?

Understanding the definition of Unique Factorization Domains

Question in proving "Any principal ideal domain is a unique factorization domain"

Intersection of Height One Primary Ideals is Principal

Abstract algebra - UFDs

In stacks project: Polynomial ring over UFD is UFD

Unique Factorization proof with GCD

Primitive polynomial is prime if its image in field of fractions is prime

Factor Theorem in Unique Factorization Domain

Conflict between Gauss' theorem and the example $\mathbb{Z}[\sqrt{-5}]$

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