Modules Possessing Projective Resolutions of Finite Type

LetGbe a group in the classLHF of locally hierarchically decomposable groups and letRbe a stronglyG-graded algebra. We provide a characterization of theR-modules of type FP∞under the assumptions thatR1is coherent and of finite global dimension.

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Veröffentlicht in:Journal of algebra 1999-06, Vol.216 (1), p.40-55
1. Verfasser: Kropholler, Peter H
Format: Artikel
Sprache:eng
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Zusammenfassung:LetGbe a group in the classLHF of locally hierarchically decomposable groups and letRbe a stronglyG-graded algebra. We provide a characterization of theR-modules of type FP∞under the assumptions thatR1is coherent and of finite global dimension.
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.1998.7759