\begin{definition}[Definition:Multiplicative Inverse/Field]
Let $\struct {F, +, \times}$ be a field whose zero is $0_F$.
Let $a \in F$ such that $a \ne 0_F$.
Then the inverse element of $a$ with respect to the $\times$ operator is called the '''multiplicative inverse''' of $F$.
It is usually denoted $a^{-1}$ or $\dfrac 1 a$.
\end{definition}