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Ukrainian Mathematical Journal

, Volume 66, Issue 12, pp 1812–1822 | Cite as

On Rings with Weakly Prime Centers

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We introduce a class of rings obtained as a generalization of rings with prime centers. A ring R is called weakly prime center (or simply WPC) if ab ϵ Z(R) implies that aRb is an ideal of R, where Z(R) stands for the center of R. The structure and properties of these rings are studied and the relationships between prime center rings, strongly regular rings, and WPC rings are discussed, parallel with the relationship between the WPC and commutativity.

Keywords

Left Ideal Homomorphic Image Exchange Ring Division Ring Stable Range 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2015

Authors and Affiliations

  • J. Wei
    • 1
  1. 1.School of MathematicsYangzhou UniversityYangzhouChina

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