short exact sequence

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English

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Wikipedia
Diagram of a short exact sequence ; actually the diagram suggests a model thereof in category (or any category that has a forgetful functor to ). Function i is an injection and function s a surjection. Function c is constant. The image equals A’, and C is isomorphic to the quotient B modulo A’.

Noun

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short exact sequence (plural short exact sequences)

  1. (algebra) An exact sequence of precisely three nontrivial objects (e.g., modules).