In algebra, an additive map, Z {\displaystyle \mathbb {Z} } -linear map or additive function is a function f {\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} . For example, any linear map is additive.
In algebra, an additive map, Z {\displaystyle \mathbb {Z} } -linear map or additive function is a function f {\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} . For example, any linear map is additive.
Source: Wikipedia "Additive map" · CC BY-SA 4.0
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