injective nel dizionario italiano Oxford-Paravia

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This is not only injective in the set-theoretic sense: it is a closed immersion in the sense of algebraic geometry.
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A metric space is injective if and only if it is an injective object in the category of metric spaces and metric maps.
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Many common notions from mathematics (e.g. surjective, injective, free object, basis, finite representation, isomorphism) are definable purely in category theoretic terms (cf. monomorphism, epimorphism).
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Such a functor is necessarily injective on objects up-to-isomorphism.
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They map the upper half-plane to itself (or to a real constant), but are not necessarily injective or surjective.
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It is an injective function when no two states have the same successor.
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The above differs from the case of monomorphisms where it is more frequently true that monomorphisms are precisely those whose underlying functions are injective.
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Given a finite-dimensional module over a commutative ring, the pairing may be injective (hence nondegenerate in the above sense) but not unimodular.
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An injective module over one ring, may not be injective over another, but there are well-understood methods of changing rings which handle special cases.
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Classically, there are two (dual) approaches to this: projective and injective resolutions.
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