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Permutation modules and projective resolutions

โœ Scribed by James Howie; Hans Rudolf Schneebeli


Book ID
112783140
Publisher
European Mathematical Society
Year
1981
Tongue
English
Weight
923 KB
Volume
56
Category
Article
ISSN
0010-2571

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Modules Possessing Projective Resolution
โœ Peter H Kropholler ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

Let G be a group in the class LHแ‘  of locally hierarchically decomposable groups and let R be a strongly G-graded algebra. We provide a characterization of the R-modules of type FP under the assumptions that R is coherent and of finite ฯฑ 1 global dimension.