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Semiprime SF-rings whose essential left ideals are two-sided

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  • Zhang Jule
  • Du Xhianneng

Abstract

It is proved that if R is a semiprime ELT-ring and every simple right R -module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R -module is flat? In this note, we give a positive answer to the question.

Suggested Citation

  • Zhang Jule & Du Xhianneng, 1994. "Semiprime SF-rings whose essential left ideals are two-sided," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-2, January.
    • Handle: RePEc:hin:jijmms:683254
    DOI: 10.1155/S0161171294000888
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