Representation theorem
In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure. For example,
* in algebra,
* Cayley's theorem states that every group is isomorphic to a transformation group on some set. Representation theory studies properties of abstract groups via their representations as linear transformations of vector spaces.
* Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a field of sets. A variant, Stone's representation theorem for lattices states that every distributive lattice is isomorphic to a sublattice of the power set lattice of some set. Another variant, states that there exists a duality (in the sense of an arro
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Representation theorem
In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure. For example,
* in algebra,
* Cayley's theorem states that every group is isomorphic to a transformation group on some set. Representation theory studies properties of abstract groups via their representations as linear transformations of vector spaces.
* Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a field of sets. A variant, Stone's representation theorem for lattices states that every distributive lattice is isomorphic to a sublattice of the power set lattice of some set. Another variant, states that there exists a duality (in the sense of an arro
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En matemática, un teorema de r ...... rfa a una estructura concreta.
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In mathematics, a representati ...... rically in an Euclidean space.
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En matemática, un teorema de r ...... rfa a una estructura concreta.
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In mathematics, a representati ...... ality (in the sense of an arro
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Representation theorem
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Teorema de representación
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