Exact sequence

Short exact sequence

A short exact sequence is an exact sequence with no more than three non-trivial objects, #m/def/homology i.e. it is of the form

A morphism of short exact sequences is a triple of homomorphisms such that the expected commutative diagram commutes.

Properties

1. is guaranteed to be injective and to be surjective (see Properties)
2. Split short exact sequence

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