Bourbaki

Exercise 16, § 8

Algebra, I, 174

Give examples of ideals a,b,ca, b, c in the ring Z\mathbf{Z} such that ab≠a∩bab \neq a \cap b and (a+b)(a+c)≠a+bc(a + b)(a + c) \neq a + bc.

Solution

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Transcribed from the printed volume. Not translated.