Abstract
For a localizing class $$ \mathcal{S} $$ of morphisms in a pretriangulated category $$ \mathcal{D} $$ , a weak version of a sufficient condition that guarantees the transfer of the structure of a pretriangulated category onto the localization $$ \mathcal{D}\left[{\mathcal{S}}^{-1}\right] $$ is proposed. Moreover, the weakness of a similar sufficient condition is obtained in the context of triangulated categories.
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