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Flat and Stably Flat Modules

✍ Scribed by E. Alcock

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
120 KB
Volume
220
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study Kropholler's generalisation of Lazard's criterion for a module to be Ε½ . flat. The context is complete cohomology and modules of type FP . Let G be a Ο± group in the class H α‘  of groups which act on a finite dimensional contractible cell 1 complex with finite stabilisers and let R be a strongly G-graded algebra. We provide a characterisation of the stably flat R-modules under the assumption that R is coherent of finite global dimension.

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