Articles

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

  • YAN Hang-Yu
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  • Department of Mathematics, Nanjing University, Nanjing 210093, China, Department of Basic Courses, China Pharmaceutical University, Nanjing 211198, China

Received date: 2008-03-12

  Revised date: 2009-06-19

  Online 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.

Cite this article

YAN Hang-Yu . ABSOLUTELY |E-PURE MODULES AND E-PURE SPLIT MODULES[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 207 -220 . DOI: 10.1016/S0252-9602(11)60221-X

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