These rings are aquired through a quest line that involves gaining reputation with the Violet Eye. Gaining reputation can be done by raiding the Karazhan instance.
Other reputation-rewards for the Violet Eye can be found on the Violet Eye/Rewards page.
Friendly:
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Honored:
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Revered:
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Exalted:
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Questline
The questline to obtain these rings starts at Archmage Leryda who stands in front of the entrance to Karazhan.