We define and investigate separable K-linear categories. We show that such a category C is locally finite and that every left C-module is projective. We apply our main results to characterize separable linear categories that are spanned by groupoids or delta categories.
@article{bwmeta1.element.doi-10_2478_s11533-010-0007-6,
author = {Andrei Chites and Costel Chites},
title = {Separable K-linear categories},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {274-281},
zbl = {1198.18007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0007-6}
}
Andrei Chiteș; Costel Chiteș. Separable K-linear categories. Open Mathematics, Tome 8 (2010) pp. 274-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0007-6/
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