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Communications in Algebra Volume 42, 2014 - Issue 7
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Original Articles

All Modules Have Gorenstein Flat Precovers

Gang Yang Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, ChinaCorrespondence[email protected]
&
Li Liang Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, China
Pages 3078-3085 | Received 16 Sep 2012, Published online: 13 Mar 2014
 
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Abstract

It is known that every R-module has a flat precover. We show in the paper that every R-module has a Gorenstein flat precover.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

This work was partly supported by NSF of China (Grant No. 11101197, 11201376 and 11301240) and the Program of Science and Technique of Gansu Province (No. 1107RJZA233). The authors wish to thank the referee for his/her careful reading and many considerable suggestions, which have improved the present paper.

Notes

Communicated by I. Swanson.

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