\begin{definition}[Definition:Conjugation (Abstract Algebra)/Conjugate]
Let $A = \left({A_F, \oplus}\right)$ be an algebra over a field $F$.
Let $C: A_F \to A_F$ be a conjugation on $A$.
Let $a \in A$.
Then $C \left({a}\right)$ is called the '''conjugate''' of $a$.
\end{definition}