Acta Mathematica Hungarica

, Volume 111, Issue 4, pp 311–312 | Cite as

A criterion for unit-regularity

  • Greg Marks


A von Neumann regular ring is unit-regular if and only if every principal right ideal is uniquely generated.

unit-regular ring uniquely generated principal right ideals 

Copyright information

© Springer-Verlag/Akadémiai Kiadó 2006

Authors and Affiliations

  • Greg Marks
    • 1
  1. 1.Department of Mathematics and Computer Science, St. Louis University

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