I'm glad you state that. Some believe that for Christians to get married, they need a wedding ring, when I've read nowhere in the bible this was a necessity for marriage. Very good point.
I've always had issue with the ring thing, but went with the flow, lol. Like you, I've not seen a requirement for a ring in the Bible, in fact, had it not been for Moses and the people, Jesus, Yashua, Eashoa never would have allowed a decree for divorce.
God knows the heart and the commitment ...