Merge pull request #77 from Trivo25/fix-extension-field-typp

fix notation of field extension definition

chapters/algebra-moonmath.tex

@@ -1163,7 +1163,7 @@ \subsection{Prime Field Extensions}\label{field-extension}
 The set $\F_{p^m}$ of the prime field extension is given by the set of all polynomials with a degree less than $m$:
 \begin{equation}
 \label{eq:prime-extension-field}
-\F_{p^m}:= \{a_{m-1} x^{m-1}+a_{k-2}x^{k-2}+\ldots+a_1 x+a_0\;|\; a_i\in \F_p\}
+\F_{p^m}:= \{a_{m-1} x^{m-1}+a_{m-2}x^{m-2}+\ldots+a_1 x+a_0\;|\; a_i\in \F_p\}
 \end{equation}
 The addition law of the prime field extension $\F_{p^m}$ is given by the usual addition of polynomials as defined in \eqref{def:polynomial_arithmetic}: 
 \begin{equation}