Separable K-linear categories
Open Mathematics (2010)
- Volume: 8, Issue: 2, page 274-281
- ISSN: 2391-5455
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Abstract
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topAndrei Chiteș, and Costel Chiteș. "Separable K-linear categories." Open Mathematics 8.2 (2010): 274-281. <http://eudml.org/doc/269374>.
@article{AndreiChiteș2010,
abstract = {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.},
author = {Andrei Chiteș, Costel Chiteș},
journal = {Open Mathematics},
keywords = {K-linear category; Hochschild-Mitchell cohomology; Separable K-linear category; -linear category; separable -linear category},
language = {eng},
number = {2},
pages = {274-281},
title = {Separable K-linear categories},
url = {http://eudml.org/doc/269374},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Andrei Chiteș
AU - Costel Chiteș
TI - Separable K-linear categories
JO - Open Mathematics
PY - 2010
VL - 8
IS - 2
SP - 274
EP - 281
AB - 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.
LA - eng
KW - K-linear category; Hochschild-Mitchell cohomology; Separable K-linear category; -linear category; separable -linear category
UR - http://eudml.org/doc/269374
ER -
References
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- [6] Weibel C.A., An introduction to homological algebra, Cambridge University Press, Cambridge, 1995
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