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Appendix B - Internal hom for monoidal categories

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Published online by Cambridge University Press:  28 February 2020

Marcelo Aguiar
Affiliation:
Cornell University, Ithaca
Swapneel Mahajan
Affiliation:
Indian Institute of Technology, Mumbai
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Summary

We review the notion of internal hom for a monoidal category. The discussion includes the endomorphism monoid, the convolution monoid, the internal hom for functor categories (which includes the category of modules over a monoid algebra). We also discuss the enriched counterpart of the tensor-hom adjunction, which gives rise to the notion of power and copower.

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Publisher: Cambridge University Press
Print publication year: 2020

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