Author(s)

Najat M. Muthana, S. Khalid Nauman

Department of Mathematics, King Abdulaziz University, Jeddah, KSA.

This short exposition is about some commutativity conditions on a semiprime right Goldie C_k-ring. In particular, it is observed here that a semiprime right Goldie C_k-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.

Semiprime Right Goldie C_k-Rings; Reduced; Symmetric; Von Neumann Regular Rings

N. Muthana and S. Nauman, "On Commutativity of Semiprime Right Goldie C_k-Rings," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 217-219. doi: 10.4236/apm.2012.24031.