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The definition of resolutions of an object M in an abelian category A is the same as above, but the Ei and C are objects in A, and all maps involved are morphisms in A. The analogous notion of projective and injective modules are projective and injective objects, and, accordingly, projective and injective resolutions. However, such resolutions need not exist in a general abelian category A. If every object of A has a projective (resp. injective) resolution, the… Witryna19 cze 2024 · Proposition 6.5 , Hartshorne named loacally free of finite rank resolution "locally free resolution". $\endgroup$ – Nakayama. Jun 19, 2024 at 2:37. Add a … dannybrook apartments williamsville ny
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