List questions from unique-factorization-domains

Published on 13 Apr 2026 - 19:28

296

Views

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

Published on 14 Apr 2026 - 17:11

222

Views

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

Published on 15 Apr 2026 - 17:11

91

Views

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

Published on 10 Apr 2026 - 7:51

77

Views

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

Published on 18 Apr 2026 - 9:55

2.9k

Views

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

Published on 13 Apr 2026 - 9:58

430

Views

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

Published on 15 Apr 2026 - 16:53

69

Views

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

Published on 13 Apr 2026 - 8:51

462

Views

Why a certain integral domain is not a UFD.

Published on 25 Mar 2026 - 1:22

212

Views

unique factorization in polynomial modulo $p^k$

Published on 15 Apr 2026 - 15:21

122

Views

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

Published on 16 Apr 2026 - 20:49

58

Views

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

Published on 14 Apr 2026 - 20:54

93

Views

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

Published on 15 Apr 2026 - 5:05

98

Views

Heegner numbers, still UFD?

Published on 12 Apr 2026 - 11:12

57

Views

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

Published on 09 Apr 2026 - 20:01

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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