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gptkbp:instanceOf
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gptkb:mathematical_concept
Category theory concept
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gptkbp:defines
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A category equipped with a bifunctor, an identity object, and natural isomorphisms satisfying coherence conditions
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gptkbp:example
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gptkb:Category_of_sets_with_cartesian_product
Category of vector spaces with tensor product
Category of modules over a ring with tensor product
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gptkbp:field
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Category theory
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gptkbp:generalizes
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gptkb:Braided_monoidal_category
gptkb:Strict_monoidal_category
gptkb:Symmetric_monoidal_category
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gptkbp:hasBifunctor
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gptkb:Tensor_product
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gptkbp:hasCoherenceTheorem
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gptkb:Mac_Lane's_coherence_theorem
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gptkbp:hasIdentityObject
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Unit object
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gptkbp:hasNaturalIsomorphisms
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gptkb:Left_unitor
gptkb:Right_unitor
Associator
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https://www.w3.org/2000/01/rdf-schema#label
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Monoidal category
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gptkbp:introduced
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gptkb:Saunders_Mac_Lane
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gptkbp:introducedIn
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1963
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gptkbp:relatedTo
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gptkb:Enriched_category
gptkb:Monoid_in_category_theory
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gptkbp:satisfies
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gptkb:Pentagon_identity
gptkb:Triangle_identity
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gptkbp:usedIn
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gptkb:algebra
gptkb:Topology
gptkb:Theoretical_computer_science
Quantum computing
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gptkbp:bfsParent
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gptkb:Tensor_product
gptkb:Bifunctor
gptkb:Monoidal_functor
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gptkbp:bfsLayer
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6
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