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Abstract
Let R=⨁∞k=−∞Rk be a strongly Z-graded ring, and let C+ be a chain complex of modules over the positive subring P=⨁∞k=0Rk. The complex C+⊕PR0 is contractible (resp., C+ is R0-finitely dominated) if and only if C+⊕PL is contractible, where L is a suitable non-commutative localisation of P. We exhibit universal properties of these localisations, and show by example that an R0-finitely dominated complex need not be P-homotopy finite.
| Original language | English |
|---|---|
| Pages (from-to) | 373-398 |
| Number of pages | 26 |
| Journal | Homology, Homotopy and Applications |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 18 May 2022 |
ASJC Scopus subject areas
- General Mathematics
- Algebra and Number Theory
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Dive into the research topics of 'Non-commutative localisation and finite domination over strongly Z-graded rings'. Together they form a unique fingerprint.Research output
- 1 Article
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Finite domination and Novikov homology over strongly Z-graded rings
Huettemann, T. & Steers, L., 22 Sept 2017, In: Israel Journal of Mathematics. 221, 2, p. 661–685Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Citations (Scopus)289 Downloads (Pure)