Separable K-linear categories

• Autorzy: Andrei Chiteș , Costel Chiteș
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

K-linear category; Hochschild-Mitchell cohomology; Separable K-linear category

Kategorie tematyczne

• 18G60: Other (co)homology theories
• 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 274-281

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Andrei Chiteș

• University of Bucharest

autor

Costel Chiteș

• Tudor Vianu High School

Bibliografia

• [1] Ardizzoni A., Menini C., Ştefan D., Hochschild cohomology and “smoothness” in monoidal categories, J. Pure Appl. Algebra, 2007, 208, 297–330 http://dx.doi.org/10.1016/j.jpaa.2005.12.003
• [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
• [6] Weibel C.A., An introduction to homological algebra, Cambridge University Press, Cambridge, 1995

Identyfikatory

DOI

10.2478/s11533-010-0007-6