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Nuclei of categories with tensor products

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arxiv 0708.2761 v1 pith:MRLWTSEZ submitted 2007-08-21 math.CT

Nuclei of categories with tensor products

classification math.CT
keywords categoriesalgebrasnucleianalogycategoricalconsideredconstructionexample
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Following the analogy between algebras (monoids) and monoidal categories the construction of nucleus for non-associative algebras is simulated on the categorical level. Nuclei of categories of modules are considered as an example.

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  1. 2-dimensional Lawvere theories, commutativity, and higher Day convolution

    math.CT 2026-02 conditional novelty 6.0

    A Lawvere 2-theory with a lax (or pseudo/strict) commutativity structure has a model category that is a closed 2-multicategory, implying a Fox-style comonad and a generalized Day convolution.