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bn:00588454n
Noun Concept
Categories: Lemmas in category theory, Homological algebra
EN
splitting lemma  split  Splitting sequence
EN
In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements are equivalent for a short exact sequence 0 ⟶ A ⟶ q B ⟶ r C ⟶ 0. Wikipedia
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EN
In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements are equivalent for a short exact sequence 0 ⟶ A ⟶ q B ⟶ r C ⟶ 0. Wikipedia
Lemma 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 Wikidata
IS A
lemma
FACET OF
abelian category
STUDIED BY
category theory
Wikipedia
EN
splitting lemma
Wikidata
EN
splitting lemma
Wikipedia Redirections
EN
split (mathematics), Splitting sequence

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