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Homotopy types of truncated projective resolutions

Homotopy types of truncated projective resolutions
Homotopy types of truncated projective resolutions
We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module, we consider their underlying chain complexes. We show they may be stabilized by projective modules to obtain a pair of complexes of the same homotopy type
projective resolution, homotopy type
445-449
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069

Mannan, W.H. (2007) Homotopy types of truncated projective resolutions. Homology, Homotopy and Applications, 9 (2), 445-449.

Record type: Article

Abstract

We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module, we consider their underlying chain complexes. We show they may be stabilized by projective modules to obtain a pair of complexes of the same homotopy type

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Published date: 2007
Keywords: projective resolution, homotopy type

Identifiers

Local EPrints ID: 69186
URI: http://eprints.soton.ac.uk/id/eprint/69186
PURE UUID: 21325a32-34ab-4fa4-bf11-fea64c5d2da3

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Date deposited: 23 Oct 2009
Last modified: 08 Jan 2022 14:25

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Contributors

Author: W.H. Mannan

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