Semisimple ring
= Semisimple ring
A semisimple ring is a ring that is semisimple as a module over itself. Equivalently, every module over it is semisimple, so every short exact sequence of modules splits.
= Semisimple ring
A semisimple ring is a ring that is semisimple as a module over itself. Equivalently, every module over it is semisimple, so every short exact sequence of modules splits.