On Commutativity of Semiprime Right Goldie C_k-Rings

Najat M. Muthana, S. Khalid Nauman

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

DOI: 10.4236/apm.2012.24031                

Abstract

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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