Waalykum assalam,
According to Grand Ayatollah Sayyid Khamenei (may the Almighty prolong his life):
If it is considered decoration [zinah] then it must be covered from foreign [non-mahram] men.
According to Grand Ayatollah Sayyid Sistani (may the Almighty prolong his life):
On the condition that one is safe from falling into impermissible actions, as well as not wearing the ring for the sake of causing non-mahrams to look in an impermissible manner, and the ring not being a cause of initiating strife [fitnah] even in a general manner [naw'an], then there is no issue in wearing it, albeit that the recommended precaution [ihtiyat istihbaabi] is to not wear it in all cases.
May the Almighty grant you tawfeeq in all of your affairs