Something personal, meaningful, or significant about the owner or the giver of the ring (for example, your grandmother giving you her ring might represent her "giving you her love")
Belonging or commitment, such as an engagement ring representing a commitment to be married, or a high school ring representing belonging to a certain school and graduating class
Possible dream symbol meanings in the dream dictionary are suggested. No "standard meanings" exist because dream meaning is subjective and specific to the dreamer.