In essay i am reading, we have an finitely generated ideal, so it is generated by an idempotent element $e\in R$ (since finitely generated ideals generated by an idempotent element in von Neumann regular ring)
Then it is written that ''we can replace $eR$ by $R$''. I can't understand how and why. I am on the opinion that there should be isomorphism between $R$ and $eR$,but couldn't see yet. ($R$ is not domain)
Could anyone help me ?