?

Abstract Algebra

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Not Principally Idealistic

ABSALG-0TERVL

Which of the following rings is NOT a principal ideal domain (PID)?

A

Any field

B

$\mathbb{Z}$

C

$\mathbb{Z}[x]$

D

$\mathbb{Q}[x]$

E

$\mathbb{Q}\times\mathbb{Q}$