splitting lemma
Sign in to savelemma that, in an Abelian category, a short exact sequence, one of whose two morphisms admits a section or retraction into the middle term, is a direct sum
In the Vinony graph
Within Vinony's link graph, splitting lemma is referenced by 24 other articles, and connects out to order, mathematics and International Standard Book Number.
It is catalogued under topics including Homological algebra and Lemmas in category theory.
Its subject is documented across 7 Wikipedia language editions.
Wikidata facts
- Instance of
- lemma
Show 4 more facts
- facet of
- abelian category
- studied by
- category theory
- statement describes
- short exact sequence
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0
Connections
order
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mathematics
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International Standard Book Number
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linear algebra
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mathematical proof
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permutation
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isomorphism
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intersection
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bijection
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injection
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surjective function
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category theory
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identity function
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image
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homological algebra
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group homomorphism
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cyclic group
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normal subgroup
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Saunders Mac Lane
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kernel
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