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projective resolution (Definition)

Let $ M$ be a module. A projective resolution of $ M$ is an exact sequence of the form

$\displaystyle \cdots \to P_n \to P_{n-1} \to \cdots \to P_1 \to P_0 \to M \to 0$
where each $ P_n$ is a projective module.



"projective resolution" is owned by antizeus.
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Cross-references: projective module, exact sequence, module
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This is version 2 of projective resolution, born on 2002-01-05, modified 2003-09-20.
Object id is 1371, canonical name is ProjectiveResolution.
Accessed 3265 times total.

Classification:
AMS MSC: 16E05 (Associative rings and algebras :: Homological methods :: Syzygies, resolutions, complexes)
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