DOI QR코드

DOI QR Code

REDUCED MODULES AND STRONGLY REGULAR RINGS

  • Huh, Chan (Department of Mathematics Pusan National University) ;
  • Cheon, Jeoung Soo (Department of Mathematics Pusan National University) ;
  • Kim, Du Won (Department of Mathematics Pusan National University)
  • 투고 : 2016.11.07
  • 심사 : 2017.01.20
  • 발행 : 2017.01.31

초록

It is a well-known fact that a ring R is regular if and only if every left R-modules is flat. In this article we prove that a ring R is strongly regular if and only if every left R-modules is reduced if and only if every left-R modules is quasi-reduced.

키워드

참고문헌

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  5. C.P.Zhang and J.L.Chen, ${\alpha}$-Skew Armendariz and ${\alpha}$-Semicommutative modules, Taiwan.J. Of Math. Vol. 12, No. 2, (2008), 473-486 https://doi.org/10.11650/twjm/1500574168