TITLE:
On Commutativity of Semiprime Right Goldie Ck-Rings
AUTHORS:
Najat M. Muthana, S. Khalid Nauman
KEYWORDS:
Semiprime Right Goldie Ck-Rings; Reduced; Symmetric; Von Neumann Regular Rings
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
27,
2012
ABSTRACT: 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.