Exercise 6.5: Let $A$ be an algebra over a field $F$. Show that $A$ is a simple algebra if and only if $A$ has no nontrivial ideals.
Exercise 6.5: Let $A$ be an algebra over a field $F$. Show that $A$ is a simple algebra if and only if $A$ has no nontrivial ideals.
Exercise 6.5: Let $A$ be an algebra over a field $F$. Show that $A$ is a simple algebra if and only if $A$ has no nontrivial ideals.
