The tags noncommutative-algebra and noncommutative-rings should be merged; the first being more used, and also in analogy with the tag ac.commutative-algebra, I'd suggest to embed noncommutative-rings into noncommutative-algebra. A current problem is also that noncommutative-algebra does not include the word "ring" in its wiki, and hence is not suggested when people type "ring".
Making a synonym noncommutative-rings $\to$ noncommutative-algebra would also have the advantage that the latter tag is suggested when people type "ring". (Note: commutative-rings has already been embedded in ac.commutative-algebra.)