Geodesic
A note on localization of pretriangulated categories
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 27, Tome 430 (2014), pp. 67-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a localising class $\mathcal S$ of morphisms in a pretriangulated category $\mathcal D$, a weak version of a sufficient condition that guarantees carrying the structure of pretriangulated category onto the localisation $\mathcal{D[S}^{-1}]$ is proposed. Moreover, we get a similar weakness of a sufficient condition in the context of triangulated categories. 
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     author = {A. I. Generalov},
     title = {A~note on localization of pretriangulated categories},
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A. I. Generalov. A note on localization of pretriangulated categories. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 27, Tome 430 (2014), pp. 67-73. http://geodesic.mathdoc.fr/item/ZNSL_2014_430_a6/

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