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Theorem in category theory
branch of mathematics, Beck's monadicity theorem gives a criterion that characterises monadic functors, introduced by Jonathan Mock Beck (1968). It is often
Beck's_monadicity_theorem
Topics referred to by the same term
Beck's theorem may refer to either of two mathematical results: Beck's monadicity theorem or the Beck tripleability theorem (1964/2003), by Jonathan Mock
Beck's_theorem
Operation in algebra and mathematics
that an adjunction is monadic allows one to reconstruct objects in D out of objects in C and the T-action. Beck's monadicity theorem gives a necessary and
Monad_(category_theory)
the monad induced by p ! , p ∗ {\displaystyle p_{!},p^{*}} . Beck's monadicity theorem Bénabou, Jean; Roubaud, Jacques (1970). "Monades et descente"
Monadic_descent
Technique from algebraic geometry
presentation). A faithfully flat descent is a special case of Beck's monadicity theorem. Given a faithfully flat ring homomorphism A → B {\displaystyle
Faithfully_flat_descent
Shirshov–Cohn theorem (Jordan algebras) Shirshov–Witt theorem (Lie algebras) Beck's monadicity theorem (category theory) Bruguières modularity theorem (category
List_of_theorems
Mathematical concept that extends the intuitive idea of gluing in topology
Grothendieck topology Fibered category Beck's monadicity theorem Cohomological descent Faithfully flat descent Monadic descent Descent data for quasi-coherent
Descent_(mathematics)
American mathematician (1935–2006)
is known for the eponymous Beck's tripleableness (monadicity) theorem and the Beck–Chevalley condition.[citation needed] Beck, J. (1969). "On H-spaces and
Jonathan_Mock_Beck
Generalization of monads
functors. The 2-categorical analogue of Beck's monadicity theorem holds for the pseudomonads. Whereas the original theorem gives a necessary and sufficient condition
Pseudomonad_(category_theory)
every bimorphism (i.e., both mono and epi) is an isomorphism. Beck's theorem Beck's theorem characterizes the category of algebras for a given monad. bicategory
Glossary_of_category_theory
International relations theory
motivating peace between democratic states. Individual theorists maintain "monadic" forms of this theory (democracies are in general more peaceful in their
Democratic_peace_theory
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BECKS MONADICITY-THEOREM
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