Chinese Quarterly Journal of Mathematics ›› 1990, Vol. 5 ›› Issue (3): 97-99.

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关于严素模与严半素模

  


  1. 安徽师范大学
  • Received:1989-02-23 Online:1990-09-30 Published:2025-11-25

Abstract:  本文始终假定R是有单位元的结合环,M是左R—模,M*=HomR(M,R)。设N是M的子模,如果对于任意x,y∈M,若(xM*)yAN,就一定有x∈N或y∈N,则称N为M的严素子模。如果N=(0)是M的严素子模,则称M是严素模。易知,