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(STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS
Published online by Cambridge University Press: 17 December 2013
Abstract
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.
- Type
- Research Article
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- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
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