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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 617-618
doi:10.1155/S0161171294000888

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

Jule Zhang and Xianneng Du

Anhui Normal University, Wuhu 241000, China

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.