diff options
| -rw-r--r-- | ealg/n.lyx | 32 | ||||
| -rw-r--r-- | ealg/n2.lyx | 244 |
2 files changed, 243 insertions, 33 deletions
@@ -148,6 +148,38 @@ Apuntes de Clase, Tercer Curso del Grado en Matemáticas (Cuarto Curso del Departamento de Matemáticas, Universidad de Murcia. \end_layout +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hbox{ +\backslash +vline +\backslash +vbox{ +\end_layout + +\end_inset + +Se indican con una barra a la izquierda como esta los resultados que proceden + de los ejercicios. +\begin_inset ERT +status open + +\begin_layout Plain Layout + +}} +\end_layout + +\end_inset + + +\end_layout + \begin_layout Chapter Polinomios \end_layout diff --git a/ealg/n2.lyx b/ealg/n2.lyx index 3d07f3b..f25344a 100644 --- a/ealg/n2.lyx +++ b/ealg/n2.lyx @@ -2226,6 +2226,67 @@ Sea \end_layout \end_deeper +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hbox{ +\backslash +vline +\backslash +hspace{3pt} +\backslash +vbox{ +\end_layout + +\end_inset + + +\begin_inset Formula $K\subseteq L$ +\end_inset + + es algebraica si y sólo si todo subanillo +\begin_inset Formula $A$ +\end_inset + + intermedio entre +\begin_inset Formula $K$ +\end_inset + + y +\begin_inset Formula $L$ +\end_inset + + es un cuerpo, si y sólo si para todo cuerpo intermedio +\begin_inset Formula $E$ +\end_inset + +, todo +\begin_inset Formula $K$ +\end_inset + +-endomorfismo en +\begin_inset Formula $E$ +\end_inset + + es un automorfismo. +\begin_inset ERT +status open + +\begin_layout Plain Layout + +}} +\end_layout + +\end_inset + + +\end_layout + \begin_layout Section Extensiones simples \end_layout @@ -2550,6 +2611,22 @@ Si \end_deeper \begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{samepage} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard Ejemplos: \end_layout @@ -2657,6 +2734,22 @@ status open \backslash +end{samepage} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash vspace{-1ex} \backslash hbox{ @@ -3780,38 +3873,6 @@ Dada una familia [...] con el producto componente a componente. \end_layout -\begin_layout Standard -\begin_inset ERT -status open - -\begin_layout Plain Layout - - -\backslash -eremember -\end_layout - -\end_inset - - -\end_layout - -\begin_layout Standard -\begin_inset ERT -status open - -\begin_layout Plain Layout - - -\backslash -sremember{GyA} -\end_layout - -\end_inset - - -\end_layout - \begin_layout Enumerate \begin_inset Argument item:1 status open @@ -4462,6 +4523,49 @@ finitamente generada \end_layout \begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hbox{ +\backslash +vline +\backslash +vbox{ +\end_layout + +\end_inset + +Dada una extensión algebraica +\begin_inset Formula $K\subseteq L$ +\end_inset + + y +\begin_inset Formula $\alpha_{1},\dots,\alpha_{n}\in L$ +\end_inset + +, +\begin_inset Formula $K(\alpha_{1},\dots,\alpha_{n})=K[\alpha_{1},\dots,\alpha_{n}]$ +\end_inset + +. +\begin_inset ERT +status open + +\begin_layout Plain Layout + +}} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard Sean \begin_inset Formula $K\subseteq L$ \end_inset @@ -4575,6 +4679,45 @@ Es un cuerpo, pues para \end_layout \begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hbox{ +\backslash +vline +\backslash +vbox{ +\end_layout + +\end_inset + +Para todo cuerpo +\begin_inset Formula $K$ +\end_inset + +, +\begin_inset Formula $\overline{K}_{K(X)}=K$ +\end_inset + +. +\begin_inset ERT +status open + +\begin_layout Plain Layout + +}} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard Un \series bold cuerpo de números algebraicos @@ -4882,7 +5025,26 @@ estable por levantamientos \end_inset también. - Son estables por levantamientos: +\end_layout + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{samepage} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +Son estables por levantamientos: \end_layout \begin_layout Enumerate @@ -4967,6 +5129,22 @@ status open \backslash +end{samepage} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash hbox{ \backslash vline |