Essential Extensions of a Direct Sum of Simple Modules-II

  • S. K. Jain
  • Ashish K. Srivastava
Conference paper
Part of the Trends in Mathematics book series (TM)


It is shown that a semi-regular ring R with the property that each essential extension of a direct sum of simple right R-modules is a direct sum of quasi-injective right R-modules is right noetherian.


Right noetherian essential extension quasi-injective module simple module von Neumann regular ring 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • S. K. Jain
    • 1
  • Ashish K. Srivastava
    • 2
  1. 1.Department of MathematicsOhio UniversityAthensUSA
  2. 2.Department of Mathematics & Computer ScienceSt. Louis UniversitySt. LouisUSA

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