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Is it always true that IJ=JI for fractional ideals I and J of a domain?

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Is your "domain" noncommutative? If so, how are you defining a fractional ideal? – Steven Landsburg Sep 19 at 16:36
It is not given... I have to prove things about the ideal quotient of fractional ideals. – Joby Sep 19 at 16:59
1 
 wait a minute... a domain is always commutative! :-) – Joby Sep 19 at 17:08

closed as off topic by Steven Landsburg, Qiaochu Yuan, Andreas Blass, George Lowther, Yemon Choi Sep 20 at 2:53

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