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- W2890155967 abstract "Let R be a strongly Z-graded ring with degree-0 subring S, and let C be a chain complex of modules over the subring P of elements of non-negative degree. We show that there are non-commutative localisations of P which detect whether the complex C is S-finitely dominated or S-contractible, respectively, and that these localisations are universal among P-rings making S-finitely dominated and S-contractible complexes contractible. This generalises known results for polynomial rings to a much wider class of rings. We show by example that in general C need not be P-homotopy finite even if C is S-finitely dominated; this differs from the case of polynomial rings." @default.
- W2890155967 created "2018-09-27" @default.
- W2890155967 creator A5007782016 @default.
- W2890155967 date "2018-09-19" @default.
- W2890155967 modified "2023-09-25" @default.
- W2890155967 title "Non-commutative localisation and finite domination over strongly Z-graded rings" @default.
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