Vector bundles | Homological algebra

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 Horrocks . (Wikipedia).

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Linear Algebra for Beginners | Linear algebra for machine learning

Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course you will learn most of the basics of linear algebra wh

From playlist Linear Algebra

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From playlist Linear algebra: theory and implementation

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From playlist Linear Algebra

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From playlist Linear Algebra

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From playlist Mathematics

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From playlist Logic and Foundations

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From playlist Linear Algebra

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From playlist Linear Algebra

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Related pages

Abelian category | Projective object | Linear algebra | Surjective function | Homological algebra | ADHM construction | Injective function