Chinese Quarterly Journal of Mathematics ›› 1992, Vol. 7 ›› Issue (1): 25-31.

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关于左A-内射环

  


  1. 南京农业大学数学教研组 南京 210014
  • Received:1989-01-10 Online:1992-03-30 Published:2025-08-18

Abstract: 本文主要证明了:(1)适合右零化子升链条件的左A-内射环为QF环。(2)适合左零化子升链条件的左f-内射环为QF环。(3)若对环R的任意左理想A,B和右理想I满足r(A∩B)=r(A)+r(B),rl(I)=I,则R为半完全环且有本质左基座,特别地,右CF的左A-内射环(或E(RR)为投射左R-模)为QF环。

Key words:  , A-内射环, 链条件, QF环,