Commutative algebra Homological methods Concept
Projective dimension
Summary
The projective dimension of a module is the length of a shortest projective resolution of . It is exactly for the nonzero projective modules, so it measures how far is from being projective. Over a Noetherian local ring it is linked to the depth by the Auslander–Buchsbaum formula.
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About this page
| Tag | MR9QCH1PNA |
|---|---|
| URI | m2://MR9QCH1PNA |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13D05, 18G20 |
| Changed | 2 November 2026 |
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