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Algebra |
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Authors: Shao-Dan Lee
A category consists of arrows and objects. We may define a language L B {dom, cod, ◦}. Then a category is a partial algebra of the language L. Hence a functor is a homomorphism of partial algebras. And a natural transformation of functors is a natural transformation of homomorphisms. And we may define a limit of a homomorphism like a limit of functor. Then a limit of a homomorphism forms a homomorphism of partial algebras.
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[v1] 2023-05-09 01:14:35
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