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arXiv · 2504.03240

Koszul resolution for linear monoidal functors

Serge Bouc·Nadia Romero
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Abstract

We introduce regular sequences and associated Koszul resolutions for monoids in the category of functors over an essentially small linear symmetric monoidal category. Next we define polynomials over such monoids. We compute the Hochschild cohomology functors and prove a relative analogue of Hilbert's syzygy theorem for polynomials over tensor idempotent commutative monoids.

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Serge Bouc, Nadia Romero. 2025-04-04. Koszul resolution for linear monoidal functors. https://arxiv.org/abs/2504.03240

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