数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 207-220.doi: 10.1016/S0252-9602(11)60221-X

• 论文 • 上一篇    下一篇

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

阎航宇   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, China, Department of Basic Courses, China Pharmaceutical University, Nanjing 211198, China
  • 收稿日期:2008-03-12 修回日期:2009-06-19 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    This research was partially supported by SRFDP (20050284015).

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).

摘要:

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.

关键词: Absolutely E-pure module, E-pure split module, IF ring, copure flat module

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

中图分类号: 

  • 16D10