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Translations for „functors“ in the English » Arabic Dictionary (Go to Arabic » English)

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functors: noun
functor: noun

functors <functor; functors> N

functors

functor <functor; functors> N ECON

Monolingual examples (not verified by PONS Editors)

English

This is made precise in the language of smooth functors. en.wikipedia.org

Preservation of limits and colimits is a concept that only applies to "covariant" functors. en.wikipedia.org

For these objects, there are forgetful functors that forget the extra sets that are more general. en.wikipedia.org

That is, natural transformations between hom-functors are in one-to-one correspondence with morphisms (in the reverse direction) between the associated objects. en.wikipedia.org

Concrete categories have forgetful functors to the category of setsindeed they may be "defined" as those categories that admit a faithful functor to that category. en.wikipedia.org

Forgetful functors that forget structures need not be full; some morphisms don't respect the structure. en.wikipedia.org

It is beneficial to distinguish between forgetful functors that forget structure versus those that forget properties. en.wikipedia.org

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