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z*OQs+9fj^UZ^gwPSt6Zw$0$!F?B3&hO^Z(lhVT)=!N)JY9fn+c>(LLXi}vU@Esn-~ zt#>%R!1hSLgxmdlTqH}{r@;3ACyqkRHkKvH<63_yroCiOrV{Hq_*1kx%oT2azBjz1 zXVb)W!J|u#{SI<)v-k4$bg*^(ujGz(26=hgdV2eNIy?r+BEd*`Icbo9fR>Rq=s!AY BxUK*I diff --git a/TFG_Sixto_José_Martínez_Gan.tex b/TFG_Sixto_José_Martínez_Gan.tex index d8b2f66..7b8faf2 100644 --- a/TFG_Sixto_José_Martínez_Gan.tex +++ b/TFG_Sixto_José_Martínez_Gan.tex @@ -533,7 +533,7 @@ p\rar[mapsto]&\displaystyle\diffp{p}{x_i}. \begin{definicion} Diremos que $M$ es un \modulo{A} \emph{reflexivo} si $\Psi$ es un isomorfismo. \end{definicion} -\todo{Reflexivo implica libre de torsión} + Esta noción será de gran importancia como puede verse en el esquema \ref{Esquema Demostración} puesto que los módulos reflexivos son libres de torsión. \begin{ejemplo} \label{Ejemplo Espacio Vectorial es Reflexivo} Veamos que todo espacio vectorial de dimensión finita es reflexivo. Sea $V$ un $K$-espacio vectorial de dimensión $n$ y con base $\conjunto{v_1, v_2, \dots, v_n}$. El conjunto \dual{V} admite como base a la \emph{base dual} compuesta por los $v^*_{i}$ definidos como \begin{equation*}