Which of the following is a principal ideal domain? (a) \(\mathbb {Z}[i]\), (b) \(\mathbb {Z}[2\sqrt {2}]\), (c) \(\mathbb {Q}[3\sqrt {3}]\).
Question
Math 6310 • Algebra
Spring 2014 • Question 8
Question
Spring 2014 • Question 8
Which of the following is a principal ideal domain? (a) \(\mathbb {Z}[i]\), (b) \(\mathbb {Z}[2\sqrt {2}]\), (c) \(\mathbb {Q}[3\sqrt {3}]\).