List questions from unique-factorization-domains

Published on 22 Mar 2026 - 21:50

72

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Why is this element irreducible?

Published on 20 Mar 2026 - 2:22

940

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What is the correct notion of unique factorization in a ring?

Published on 23 Mar 2026 - 2:17

465

Views

A question about unique factorization domain

Published on 22 Mar 2026 - 18:49

202

Views

Is the union of UFD an UFD?

Published on 22 Mar 2026 - 19:51

195

Views

Is $F_p^{l}[t]$ is a UFD

Published on 22 Mar 2026 - 19:32

37

Views

etymology of smoothness

Published on 23 Mar 2026 - 5:57

82

Views

$2=(1+i)(1-i)$ what does that imply in $\mathbb{Z}[i]$?

Published on 23 Mar 2026 - 9:02

365

Views

Is there a way of proving that $\mathbb{Z}[i]$ and $\mathbb{Z}[\sqrt{-2}]$ are UFD s without showing that they are euclidian domains?

Published on 23 Mar 2026 - 10:52

151

Views

What implies that $D[X]$ is an UFD?

Published on 23 Mar 2026 - 3:08

218

Views

What is the condition for "NOT" irreducibility of a non-zero, non-unit element $a$ in an integral domain $R$?

Published on 23 Mar 2026 - 3:24

70

Views

Confusion regarding the proof of the theorem "An integral domain $R$ with ACCP is FD(Factorization Domain)."

Published on 17 Mar 2026 - 5:57

80

Views

Identifying error in proof that $\mathbb{Q}_{\mathbb{Z}}[x]$ is a PID but not a UFD

Published on 17 Mar 2026 - 3:58

383

Views

Number of prime elements in a ring

Published on 17 Mar 2026 - 4:49

1.6k

Views

is $\mathbb{Z}[\sqrt{-11}]$ factorial / UFD?

Published on 17 Mar 2026 - 15:09

List Question

Extension and restriction of involutions

Why is this element irreducible?

What is the correct notion of unique factorization in a ring?

A question about unique factorization domain

Is the union of UFD an UFD?

Is $F_p^{l}[t]$ is a UFD

etymology of smoothness

$2=(1+i)(1-i)$ what does that imply in $\mathbb{Z}[i]$?

Is there a way of proving that $\mathbb{Z}[i]$ and $\mathbb{Z}[\sqrt{-2}]$ are UFD s without showing that they are euclidian domains?

What implies that $D[X]$ is an UFD?

What is the condition for "NOT" irreducibility of a non-zero, non-unit element $a$ in an integral domain $R$?

Confusion regarding the proof of the theorem "An integral domain $R$ with ACCP is FD(Factorization Domain)."

Identifying error in proof that $\mathbb{Q}_{\mathbb{Z}}[x]$ is a PID but not a UFD

Number of prime elements in a ring

is $\mathbb{Z}[\sqrt{-11}]$ factorial / UFD?

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