Category theory; homological algebra Derived functors Concept
Enough projectives
Summary
A category has enough projectives when every object is a quotient of a projective object. In an abelian category with enough projectives, every object has a projective resolution. This is the condition that makes left derived functors such as Tor well defined.
Further reading
About this page
| Tag | J2TX4TDPCX |
|---|---|
| URI | m2://J2TX4TDPCX |
| Kind | concept |
| Writing | W0 stub |
| MSC | 18G05, 18G10 |
| Changed | 2 November 2026 |
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