That's exactly what I do. Hang them up after riding (on a hanger in the garage) so they dry, then wash with normal detergent and sometimes maybe a bit of powdered OxyClean (sodium percarbonate).

I've had phenomenally gross post-ride jerseys (literally crusted with sweat), but doing this they don't get stinky. I agree that the key is to not let them stay wet and let bacteria grow in it. Get them dry fast, all is good.