In algebra, an additive map, \(Z\text{-linear}\) map [Linear map] or additive function is a function \(f\) that preserves the addition operation:

\(f(x+y)=f(x)+f(y)\)

for every pair of elements \(x\) and \(y\) in the domain of \(f\).

In algebra, an additive map, \(Z\text{-linear}\) map [Linear map] or additive function is a function \(f\) that preserves the addition operation:

\(f(x+y)=f(x)+f(y)\)

for every pair of elements \(x\) and \(y\) in the domain of \(f\).