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EXACTNESS OF COCHAIN COMPLEXES VIA ADDITIVE FUNCTORS
Campanini, Federico,Facchini, Alberto Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.4
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 : Mod-R → 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.
Exactness of cochain complexes via additive functors
Federico Campanini,Alberto Facchini 대한수학회 2020 대한수학회논문집 Vol.35 No.4
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.