Enriched Morita theory of monoids in a closed symmetric monoidal category (Q6634624)
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scientific article; zbMATH DE number 7940415
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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