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- Section_(category_theory) abstract "In category theory, a branch of mathematics, a section is a right inverse of some morphism. Dually, a retraction is a left inverse of some morphism.In other words, if and are morphisms whose composition is the identity morphism on , then is a section of , and is a retraction of .Every section is a monomorphism, and every retraction is an epimorphism.In algebra the sections are also called split monomorphisms and the retractions split epimorphisms.In an abelian category, if f:X→Y is a split epimorphism with split monomorphism g:Y→X,then X is isomorphic to the direct sum of Y and the kernel of f.".
- Section_(category_theory) wikiPageID "10630303".
- Section_(category_theory) wikiPageRevisionID "600846779".
- Section_(category_theory) hasPhotoCollection Section_(category_theory).
- Section_(category_theory) subject Category:Category_theory.
- Section_(category_theory) subject Category:Homological_algebra.
- Section_(category_theory) comment "In category theory, a branch of mathematics, a section is a right inverse of some morphism.".
- Section_(category_theory) label "Section (category theory)".
- Section_(category_theory) sameAs m.02qkp82.
- Section_(category_theory) sameAs Q17103180.
- Section_(category_theory) sameAs Q17103180.
- Section_(category_theory) wasDerivedFrom Section_(category_theory)?oldid=600846779.
- Section_(category_theory) isPrimaryTopicOf Section_(category_theory).