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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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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