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projective

形容词 C2

中文: 投射的、射影的

  1. projecting outward
  2. of, relating to, or caused by a projection
  3. Invariant under projective transformations.
  4. Defined in or inhabiting a projective space.
  5. Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
  6. Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
  7. Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
  8. Such that every object in the resolution is projective.
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