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 Exactness of cochain complexes via additive functors Commun. Korean Math. Soc.Published online September 7, 2020 Federico Campanini and Alberto Facchini University of Padova 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 $P\colon{}$Mod-$R\to{}$Spec$($Mod-$R)$, where Spec$($Mod-$R)$ denotes the spectral category of Mod-$R$, and the localization functor with respect to the singular torsion theory. Keywords : Relative exactness of sequences MSC numbers : 16E30 Full-Text :