Affines Gruppenschema/K/Assoziativität/Diagramm

${\begin{matrix}G\times _{K}G\times _{K}G&{\stackrel {\Delta ^{*}\times \operatorname {Id} _{G}}{\longrightarrow }}&G\times _{K}G&\\\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\operatorname {Id} _{G}\times \Delta ^{*}\downarrow &&\downarrow \Delta ^{*}\!\!\!\!\!&\\G\times _{K}G&{\stackrel {\Delta ^{*}}{\longrightarrow }}&G&\!\!\!\!\!\\\end{matrix}}$