Nuclei of categories with tensor products

Alexei Davydov

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.

Keywords: monoidal categories, monoidal functors, quasi-bialgebras

2000 MSC: 18D10

Theory and Applications of Categories, Vol. 18, 2007, No. 16, pp 440-472.

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