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arXiv · 2504.12138

Exactness of cochain complexes via additive functors

Federico Campanini·Alberto Facchini
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Abstract

We investigate the relation between the notion of $e$-exactness, recently introduced by Akray and Zebary, and some functors naturally related to it, such as the functor $P\colon\operatorname{Mod} R\to \operatorname{Spec}(\operatorname{Mod} R)$, where $\operatorname{Spec}(\operatorname{Mod} R)$ denotes the spectral category of $\operatorname{Mod} R$, and the localization functor with respect to the singular torsion theory.

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Federico Campanini, Alberto Facchini. 2025-04-16. Exactness of cochain complexes via additive functors. https://doi.org/10.4134/ckms.c200069

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