Flat and Stably Flat Modules |
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Authors: | E. Alcock |
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Affiliation: | School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, E1 4NS, London, United Kingdomf1 |
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Abstract: | We study Kropholler's generalisation of Lazard's criterion for a module to be flat. The context is complete cohomology and modules of type (FP)∞. Let G be a group in the class 1 of groups which act on a finite dimensional contractible cell 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 R1 is coherent of finite global dimension. |
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Keywords: | group cohomology graded ring flat module |
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