Is there a difference between soap and detergent?

My wife bought me a beautiful enamel and white gold ring for my b-day. The ring came with an insert saying not to wear with other jewelry and to not expose it to detergent. Well, I wash my hands (with soap) a lot and I have been taking my ring off when I do, but is it necessary? I have a habit of losing things and I do not want to forget my ring in some random bathroom because I took it off when I washed my hands.

Is there a difference between soap and detergent? Is it okay to wash my hands with my ring on?