JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 68-75.doi: 10.6040/j.issn.1671-9352.0.2014.449

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Gorenstein weak flat modules

RAO Yan-ping, YANG Gang   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Received:2014-10-13 Revised:2015-03-27 Online:2015-10-20 Published:2015-10-21

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Abstract: Gorenstein weak flat modules are introduced and some properties of such modules are given. It is proved that the class of Gorenstein weak flat modules is closed under direct products, and that the class of Gorenstein weak flat modules is projectively resolving if and only if it is closed under extensions. Moreover, it is proved that every module has a Gorenstein weak flat precover.

Key words: weak flat module, Gorenstein weak flat precover, IF ring, Gorenstein weak flat module

CLC Number: 

  • O153.3
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