Original sentence: In mathematics, the different ideal is defined in algebraic number theory, to account for the (possible) lack of duality in the ring of integers of an algebraic number field K, with respect to the field trace
Edited sentence: In algebraic number theory, the different ideal (sometimes simply the different) is defined to account for the (possible) lack of duality in the ring of integers of an algebraic number field K, with respect to the field trace.It was introduced by Dedekind in 1882.Retrieved 5 August, 2009