Bourbaki

Exercise 12, § 1

Algebra, VII, p. 51

Show that the ring of integers of the quadratic field Q(α), where α^2 = −5, is not a principal ideal domain (see VI, p. 34, Ex. 27). Same question for Q(β), where β^2 = 10 (we have

2⋅3=(4+β)(4−β) 2 \cdot 3 = (4 + \beta)(4 - \beta)
Solution

No solution has been written yet.

Transcribed from the printed volume. Not translated.