It is a standard result of elementary homological algebra that to every R-module $A$ there exists a projective resolution. It is often said that the category of R-modules has "enough proje tives.projectives." In which other categories is this also true? In particular is it true for abelian categories?
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Existence of projective resolutions in abelian categoriesIt is a standard result of elementary homological algebra that to every R-module $A$ there exists a projective resolution. It is often said that the category of R-modules has "enough proje tives." In which other categories is this also true? In particular is it true for abelian categories?
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