Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 378-382.

• Articles • Previous Articles     Next Articles

A Note on Strongly Separativity over Exchange Rings

  

  1. (Department of Mathematics, Hangzhou Normal University, Hangzhou 310036)
  • Received:2007-12-27 Revised:2008-11-20 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    杭州师范大学科研启动经费资助

Abstract:

A ring R is strongly separative provided that, for any finitely generated projective right R-modules A and B, A    A ≌  A    B → A ≌ B. The author proves, in this note, that strongly separativity over exchange rings is invariant under subdirect products. As an application, the author proves that R/(IJ) is strongly separative if and only if so does R/(IJ) for any ideals of an exchange ring.

Key words: Exchange ring, Strong separativity, Direct product

CLC Number: 

  • 16D40
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