Abstract
After fixing a commutative ring with unit R, we present the definition of adequate category and consider the category of R-linear functors from an adequate category to the category of R-modules. We endow this category of functors with a monoidal structure and study monoids (generalized Green functors) over it. For one of these generalized Green functors, we define two new monoids, its commutant and its center, and study some of their properties and relations between them. This work generalizes the article [3].
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Acknowledgements
I thank the anonymous referee for example 3.3.3. I thank S. Bouc, F. Marmolejo and N. Romero for all their ideas and suggestions.
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Communicated by Jiří Rosický.
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Cruz Cabello, S. The Commutant and Center of a Generalized Green Functor. Appl Categor Struct 32, 29 (2024). https://doi.org/10.1007/s10485-024-09785-w
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DOI: https://doi.org/10.1007/s10485-024-09785-w