Operadic 2-rigs

M. Anel; M. Fiore; N. Gambino

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arXiv · 2607.12705

Operadic 2-rigs

M. Anel·M. Fiore·N. Gambino

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Abstract

We show that the bicategory of operads and bimodules can be embedded into the bicategory of symmetric 2-rigs, a categorification of commutative rings. In order to do this, we introduce the notion of an operadic 2-rig and show that the full sub-bicategory of symmetric 2-rigs spanned by operadic 2-rigs has the universal property of being a completion under Eilenberg-Moore-Kleisli objects.

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BibTeX RIS

M. Anel, M. Fiore, N. Gambino. 2026-07-14. Operadic 2-rigs. https://arxiv.org/abs/2607.12705

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