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On Commutativity of Semiprime Right Goldie C<i><sub>k</sub></i>-Rings
Department of Mathematics, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, King Abdulaziz University, Jeddah, KSA
- 1 Department of Mathematics, King Abdulaziz University, Jeddah, KSA
- 2 Department of Mathematics, King Abdulaziz University, Jeddah, KSA
Advances in Pure Mathematics·Volume 02 (2012)·Pages 217–219·Published 30 July 2012·DOI10.4236/apm.2012.24031
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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.
KeywordsSemiprime Right Goldie C<i><sub>k</sub></i>-RingsReducedSymmetricVon Neumann Regular Rings
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