You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
We should define what it means for a ring element to be idempotent and prove some basic properties about them.
We should also link this to decomposition of $R$-modules. if $e$ is an idempotent element of $R$ then an $R$-module $M$ can be decomposed as $M \cong eM \oplus (1-e)M$. This will be important for an eventual proof of the Wedderburn-Artin theorem.
The text was updated successfully, but these errors were encountered:
We should define what it means for a ring element to be idempotent and prove some basic properties about them.
We should also link this to decomposition of$R$ -modules. if $e$ is an idempotent element of $R$ then an $R$ -module $M$ can be decomposed as $M \cong eM \oplus (1-e)M$ . This will be important for an eventual proof of the Wedderburn-Artin theorem.
The text was updated successfully, but these errors were encountered: