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Monad (linear algebra) : ウィキペディア英語版 | Monad (linear algebra)
In linear and homological algebra, a monad is a 3-term complex : ''A'' → ''B'' → ''C'' of 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 . ==See also==
*ADHM construction
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