List questions from unique-factorization-domains

Published on 05 Jul 2018 - 15:36

293

Views

Polynomial of degree $5$ reducible over $\mathbb Q(\sqrt 2)$

Published on 19 Jul 2018 - 1:05

219

Views

Trouble with a step in proof of "$R$ is a U.F.D. $\implies R[x]$ is a U.F.D.

Published on 22 Jul 2018 - 0:38

88

Views

Contraction of an ideal in the polynomial ring over the fraction field of a UFD

Published on 28 Jul 2018 - 19:46

74

Views

The ring $K[[x_1,\ldots,x_n]][x_1^{-1},\ldots,x_n^{-1}]$ is UFD?

Published on 05 Aug 2018 - 10:11

2.9k

Views

Gauss' Lemma prove $\mathbb{Z}[x]$ UFD

Published on 16 Aug 2018 - 10:40

427

Views

Why is the quadratic field $\Bbb Q [\sqrt{-7}]$ a unique factorization domain?

Published on 23 Aug 2018 - 15:45

66

Views

Does regular Eisenstein's Criterion apply to a GCD domain?

Published on 24 Aug 2018 - 19:48

461

Views

Why a certain integral domain is not a UFD.

Published on 22 Mar 2026 - 19:13

209

Views

unique factorization in polynomial modulo $p^k$

Published on 29 Aug 2018 - 16:59

119

Views

Prove that $2x^4+15x^2+10$ is irreducible in $Q[x]$

Published on 11 Sep 2018 - 20:44

55

Views

Existence of full set of $k$-th roots of unity in $GF(p)$

Published on 19 Sep 2018 - 19:30

90

Views

Equating factor form $ u^2 + 1 = 2v^3$

Published on 22 Mar 2026 - 12:55

94

Views

Heegner numbers, still UFD?

Published on 22 Mar 2026 - 1:53

54

Views

Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

Published on 09 Oct 2018 - 22:00

List Question

Generate guaranteed unique number from given inputs that is only 7 digits

Polynomial of degree $5$ reducible over $\mathbb Q(\sqrt 2)$

Trouble with a step in proof of "$R$ is a U.F.D. $\implies R[x]$ is a U.F.D.

Contraction of an ideal in the polynomial ring over the fraction field of a UFD

The ring $K[[x_1,\ldots,x_n]][x_1^{-1},\ldots,x_n^{-1}]$ is UFD?

Gauss' Lemma prove $\mathbb{Z}[x]$ UFD

Why is the quadratic field $\Bbb Q [\sqrt{-7}]$ a unique factorization domain?

Does regular Eisenstein's Criterion apply to a GCD domain?

Why a certain integral domain is not a UFD.

unique factorization in polynomial modulo $p^k$

Prove that $2x^4+15x^2+10$ is irreducible in $Q[x]$

Existence of full set of $k$-th roots of unity in $GF(p)$

Equating factor form $ u^2 + 1 = 2v^3$

Heegner numbers, still UFD?

Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

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