Monoidal categories

Rigid category

In category theory, a branch of mathematics, a rigid category is a monoidal category where every object is rigid, that is, has a dual X* (the internal Hom [X, 1]) and a morphism 1 → X ⊗ X* satisfying natural conditions. The category is called right rigid or left rigid according to whether it has right duals or left duals. They were first defined (following Alexandre Grothendieck) by Neantro Saavedra Rivano in his thesis on Tannakian categories. (Wikipedia).

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From playlist Category Theory

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From playlist Dynamical Systems and Ordinary Differential Equations

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From playlist Dynamical Systems and Ordinary Differential Equations

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From playlist Category Theory

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From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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From playlist Periodic Classification

Related pages

Morphism | Autonomous category | Symmetric monoidal category | Mathematics | Monoidal category | Compact closed category | Category theory | Motive (algebraic geometry) | Dual object