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(STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 90 / Issue 1 / August 2014
- Published online by Cambridge University Press:
- 17 December 2013, pp. 57-64
- Print publication:
- August 2014
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- Article
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- You have access
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Let
$\Gamma $ be a group and 
${\Gamma }^{\prime } $ be a subgroup of 
$\Gamma $ of finite index. Let 
$M$ be a 
$\Gamma $-module. It is shown that 
$M$ is (strongly) Gorenstein flat if and only if it is (strongly) Gorenstein flat as a 
${\Gamma }^{\prime } $-module. We also provide some criteria in which the classes of Gorenstein projective and strongly Gorenstein flat 
$\Gamma $-modules are the same.
