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Enriched Morita theory of monoids in a closed symmetric monoidal category (Q6634624)

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scientific article; zbMATH DE number 7940415
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English
Enriched Morita theory of monoids in a closed symmetric monoidal category
scientific article; zbMATH DE number 7940415

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    Enriched Morita theory of monoids in a closed symmetric monoidal category (English)
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    8 November 2024
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    The authors extend classical Morita theory, which originally deals with the equivalence of categories of modules over rings, to the context of enriched categories. They focus on monoids in a closed symmetric monoidal category and explore how these structures can be characterized and understood through enriched categorical methods. In particular, the authors establish an enriched version of the Eilenberg-Watts theorem, which relates cocontinuous functors between module categories to tensor products.
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    Morita theory
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    Eilenberg-Watts theorem
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    enriched category
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    tensorial strength
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