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- Monad_(linear_algebra) abstract "In linear and homological algebra, a monad is a 3-term complex A → B → Cof objects in some abelian category whose middle term B is projective and whose first map A → B is injective and whose second map B → C is surjective. Equivalently a monad is a projective object together with a 3-step filtration (B ⊃ ker(B → C) ⊃ im(A → B)). In practice A, B, and C are often vector bundles over some space, and there are several minor extra conditions that some authors add to the definition. Monads were introduced by Horrocks (1964, p.698).".
- Monad_(linear_algebra) wikiPageExternalLink BF01168047.
- Monad_(linear_algebra) wikiPageID "37569292".
- Monad_(linear_algebra) wikiPageLength "1653".
- Monad_(linear_algebra) wikiPageOutDegree "9".
- Monad_(linear_algebra) wikiPageRevisionID "600507708".
- Monad_(linear_algebra) wikiPageWikiLink ADHM_construction.
- Monad_(linear_algebra) wikiPageWikiLink Abelian_category.
- Monad_(linear_algebra) wikiPageWikiLink Category:Homological_algebra.
- Monad_(linear_algebra) wikiPageWikiLink Category:Vector_bundles.
- Monad_(linear_algebra) wikiPageWikiLink Homological_algebra.
- Monad_(linear_algebra) wikiPageWikiLink Injective_function.
- Monad_(linear_algebra) wikiPageWikiLink Linear_algebra.
- Monad_(linear_algebra) wikiPageWikiLink Projective_object.
- Monad_(linear_algebra) wikiPageWikiLink Surjective_function.
- Monad_(linear_algebra) wikiPageWikiLinkText "Monad (linear algebra)".
- Monad_(linear_algebra) wikiPageWikiLinkText "monads".
- Monad_(linear_algebra) authorlink "Geoffrey Horrocks".
- Monad_(linear_algebra) hasPhotoCollection Monad_(linear_algebra).
- Monad_(linear_algebra) last "Horrocks".
- Monad_(linear_algebra) loc "p.698".
- Monad_(linear_algebra) wikiPageUsesTemplate Template:Algebra-stub.
- Monad_(linear_algebra) wikiPageUsesTemplate Template:Citation.
- Monad_(linear_algebra) wikiPageUsesTemplate Template:Distinguish.
- Monad_(linear_algebra) wikiPageUsesTemplate Template:Harvs.
- Monad_(linear_algebra) year "1964".
- Monad_(linear_algebra) subject Category:Homological_algebra.
- Monad_(linear_algebra) subject Category:Vector_bundles.
- Monad_(linear_algebra) type Thing.
- Monad_(linear_algebra) comment "In linear and homological algebra, a monad is a 3-term complex A → B → Cof objects in some abelian category whose middle term B is projective and whose first map A → B is injective and whose second map B → C is surjective. Equivalently a monad is a projective object together with a 3-step filtration (B ⊃ ker(B → C) ⊃ im(A → B)). In practice A, B, and C are often vector bundles over some space, and there are several minor extra conditions that some authors add to the definition.".
- Monad_(linear_algebra) label "Monad (linear algebra)".
- Monad_(linear_algebra) differentFrom Monad_(category_theory).
- Monad_(linear_algebra) sameAs m.0nd2_jx.
- Monad_(linear_algebra) sameAs Q6897846.
- Monad_(linear_algebra) sameAs Q6897846.
- Monad_(linear_algebra) wasDerivedFrom Monad_(linear_algebra)?oldid=600507708.
- Monad_(linear_algebra) isPrimaryTopicOf Monad_(linear_algebra).