Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 207-220.doi: 10.1016/S0252-9602(11)60221-X

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ABSOLUTELY |E-PURE MODULES AND E-PURE SPLIT MODULES

 YAN Hang-Yu   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, China, Department of Basic Courses, China Pharmaceutical University, Nanjing 211198, China
  • Received:2008-03-12 Revised:2009-06-19 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    This research was partially supported by SRFDP (20050284015).

Abstract:

We first introduce the concepts of absolutely E-pure modules and E-pure split modules. Then, we characterize the $IF$ rings in terms of absolutely E-pure modules. The E-pure split modules are also characterized.

Key words: Absolutely E-pure module, E-pure split module, IF ring, copure flat module

CLC Number: 

  • 16D10
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