$k$-linear Morita theory

Matteo Doni

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arXiv · 2406.15895

$k$-linear Morita theory

Matteo Doni

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Abstract

In this paper, we prove the standard comparison used by mathematicians between the idempotent complete pretriangulated dg-categories, over a unitary and commutative ring $k$, and the idempotent complete $k$-linear stable $\infty$-categories. Our approach is completely included in the $\infty$-categorical theory. To achieve the target we will reinterpret the Morita theory for dg-categories and we set the Morita theory for $k$-linear stable $\infty$-category.

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BibTeX RIS

Matteo Doni. 2024-06-22. $k$-linear Morita theory. https://arxiv.org/abs/2406.15895

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