List questions from unique-factorization-domains

Published on 28 May 2012 - 20:46

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Why is the ring of holomorphic functions not a UFD?

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Is the coordinate ring of SL2 a UFD?

Published on 19 Jul 2012 - 21:50

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Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method

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Ring of trigonometric functions with real coefficients

Published on 25 Nov 2012 - 19:19

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Does UFD imply noetherian?

Published on 09 Dec 2012 - 3:36

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Irreducibles are prime in a UFD

Published on 13 Dec 2012 - 14:53

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An example of a non Noetherian UFD

Published on 18 Jan 2013 - 20:24

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Is a polynomial $y^n+y^{n-1}-x^m-x^{m-1}$ irreducible in $\Bbb Z[x,y]$?

Published on 31 Jul 2020 - 10:50

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Corollary to lemma on primitive polynomials in a UFD

Published on 05 Aug 2020 - 19:11

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Proof that for primitive $p(x) \in D[x]$, $p(x)$ irreducible in $F[x]$ $\Leftrightarrow$ $p(x)$ irreducible in $D[x]$

Published on 08 Aug 2020 - 11:32

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Show that if p is a prime such that there is an integer $b$ with $p = b^2 + 4$, then $Z[ \sqrt{p}]$ is not a unique factorization domain.

Published on 09 Aug 2020 - 18:40

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Disproving unique factorization of $\mathbb{Q}(\sqrt{-6})$

Published on 10 Aug 2020 - 5:00

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If $K^{\times}/R^{\times}$ is a free abelian group, then must $R$ be a UFD?

Published on 28 Mar 2026 - 22:31

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Examples of UFD2 but not UFD1

Published on 22 Aug 2020 - 16:16

List Question

Does $A$ a UFD imply that $A[T]$ is also a UFD?

Why is the ring of holomorphic functions not a UFD?

Is the coordinate ring of SL2 a UFD?

Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method

Ring of trigonometric functions with real coefficients

Does UFD imply noetherian?

Irreducibles are prime in a UFD

An example of a non Noetherian UFD

Is a polynomial $y^n+y^{n-1}-x^m-x^{m-1}$ irreducible in $\Bbb Z[x,y]$?

Corollary to lemma on primitive polynomials in a UFD

Proof that for primitive $p(x) \in D[x]$, $p(x)$ irreducible in $F[x]$ $\Leftrightarrow$ $p(x)$ irreducible in $D[x]$

Show that if p is a prime such that there is an integer $b$ with $p = b^2 + 4$, then $Z[ \sqrt{p}]$ is not a unique factorization domain.

Disproving unique factorization of $\mathbb{Q}(\sqrt{-6})$

If $K^{\times}/R^{\times}$ is a free abelian group, then must $R$ be a UFD?

Examples of UFD2 but not UFD1

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