Weak Gorenstein Flat Modules Under the Left <em>wGF</em>-Closed Rings

WANG Xiu-jian; DU Xian-neng

doi:10.3879/j.issn.1000-0887.2013.05.010

Volume 34 Issue 5

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WANG Xiu-jian, DU Xian-neng. Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings[J]. Applied Mathematics and Mechanics, 2013, 34(5): 518-524. doi: 10.3879/j.issn.1000-0887.2013.05.010

Citation:

WANG Xiu-jian, DU Xian-neng. Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings[J]. Applied Mathematics and Mechanics, 2013, 34(5): 518-524. doi: 10.3879/j.issn.1000-0887.2013.05.010

WANG Xiu-jian, DU Xian-neng. Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings[J]. Applied Mathematics and Mechanics, 2013, 34(5): 518-524. doi: 10.3879/j.issn.1000-0887.2013.05.010

Citation:

WANG Xiu-jian, DU Xian-neng. Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings[J]. Applied Mathematics and Mechanics, 2013, 34(5): 518-524. doi: 10.3879/j.issn.1000-0887.2013.05.010

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Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings

doi: 10.3879/j.issn.1000-0887.2013.05.010

WANG Xiu-jian^1,2,
DU Xian-neng²

¹School of Applied Mathematics, West Anhui University, Lu’an, Anhui 237012, P.R.China;²School of Mathematical Sciences, Anhui University,Hefei 230039, P.R.China

Received Date: 2013-03-18
Rev Recd Date: 2013-04-12
Publish Date: 2013-05-15

Abstract

Abstract

Using homological methods, mainly prove that the class of the weak Gorenstein flat modules was projectively resolving if and only if it was closed under extensions. Furthermore, some properties of weak Gorenstein flat modules under the wGF-rings were also given. Which generalized the results of D.Bennis and so on.
- weak Gorenstein flat module,
- Gorenstein flat module,
- left wGF-closed rings,
- projectively resolving

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References(16)

References

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