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This short exposition is about some commutativity conditions on a semiprime right Goldie Ck-ring. In particular, it is observed here that a semiprime right Goldie Ck-ring with symmetric quotient is commutative. The statement holds if the symmetric ring is replaced by reduced, 2-primal, left duo, right duo, abelian, NI, NCI, IFP, or Armendariz ring.

On Commutativity of Semiprime Right Goldie C&lt;i&gt;&lt;sub&gt;k&lt;/sub&gt;&lt;/i&gt;-Rings

On Commutativity of Semiprime Right Goldie C<i><sub>k</sub></i>-Rings