# Separable K-linear categories

Open Mathematics (2010)

- Volume: 8, Issue: 2, page 274-281
- ISSN: 2391-5455

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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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- [2] Mitchell B., Rings with several objects, Adv. Math., 1972, 8, 1–161 http://dx.doi.org/10.1016/0001-8708(72)90002-3
- [3] Mitchell B., Theory of categories, Academic PressInc., New York, 1965
- [4] McCarthy R., The cyclichomology of anexact category, J. Pure Appl. Algebra, 1994, 93, 251–296 http://dx.doi.org/10.1016/0022-4049(94)90091-4
- [5] Herscovich E., Solotar A., Hochschild-Mitchell cohomology and Galois extensions, J. Pure Appl. Algebra, 2007, 209, 37–55 http://dx.doi.org/10.1016/j.jpaa.2006.05.012 Zbl1118.16012
- [6] Weibel C.A., An introduction to homological algebra, Cambridge University Press, Cambridge, 1995

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