Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

- True or false: ⟨2R ⟩ is always a prime ideal, no matter what ring ? is.
- True or false: ⟨2R ⟩ is always a maximal ideal, no matter what ring ? is.
- True or false: ⟨2R⟩ is always a principal ideal, no matter what ring ? is.
- True or false: ⟨2R⟩ is always a finitely generated ideal, no matter what ring R is.
- True or false: Every integral domain is a ring.
- True or false: Every integral domain is a PID
- True or false: Every PID is an integral domain.

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