Schanuel's lemma

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo modules
abelian categories
gptkbp:field homological algebra
gptkbp:firstPublished 1958
https://www.w3.org/2000/01/rdf-schema#label Schanuel's lemma
gptkbp:namedAfter gptkb:Stephen_Schanuel
gptkbp:sentence If two short exact sequences 0 → K → P → M → 0 and 0 → K' → P' → M → 0 exist with P, P' projective, then K ⊕ P' ≅ K' ⊕ P.
gptkbp:usedIn exact sequences
projective resolutions
homological dimension theory
gptkbp:bfsParent gptkb:Stephen_Schanuel
gptkbp:bfsLayer 7