Geodesic
Degeneracy of some derived categories
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 193-207

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We study derived categories for the category of the modules over some generalized rings. In particular, the cases of $\mathcal O_\mathbb R$ and of $\mathbb F_{1^n}$ are considered. It is shown that these derived categories are degenerate. The degeneracy means that every isomorphism in such a category can be detected on the $\pi_0$- and $\pi^0$-levels. 
@article{ZNSL_2012_400_a9,
     author = {A. L. Smirnov},
     title = {Degeneracy of some derived categories},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {193--207},
     publisher = {mathdoc},
     volume = {400},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a9/}
}
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A. L. Smirnov. Degeneracy of some derived categories. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 193-207. http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a9/