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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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What is the mathematical name for Haskell's Alternative Functor

Haskell's Applicative Functor is called Lax Monoidal Functor in mathematics. What is Haskell's Alternative Functor called in mathematics? Recall that Haskell's Alternative Functor is defined as foll …
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