Abstract Algebra

Free Version

Upgrade subject to access all content

Moderate

Unique Factorization versus Principal Ideal Domains

ABSALG-G1XVRT

Which of the following is true of UFDs (Unique Factorization Domains) and PIDs (Principal Ideal Domains)?

Select ALL that apply.

A

Every UFD is a PID.

B

Every field is a PID.

C

The polynomial ring of a field is a UFD.

D

The polynomial ring of a field is a PID.

E

The polynomial ring of a PID is a PID.