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Additive map

In algebra, an additive map or additive function is a functionf{\displaystyle f} that preserves the addition operation: f(x+y)=f(x)+f(y){\displaystyle f(x+y)=f(x)+f(y)} for every pair of elements x{\displaystyle x} and y{\displaystyle y} in the domain of ⁠f{\displaystyle f}⁠.

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