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Maschke functors, semisimple functors and separable functors of the second kind: applications

โœ Scribed by S. Caenepeel; G. Militaru

Book ID
108357982
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
247 KB
Volume
178
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES

Separable Functors for the Category of D
Separable Functors for the Category of Doiโ€“Hopf Modules, Applications
โœ S. Caenepeel; G. Militaru; Bogdan Ion; Shenglin Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 296 KB

We prove a Maschke type theorem for the category of Doi Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the C-coaction to be separable. This leads to a generalized notion of integrals. Our results can be applied to obtain Maschke type theorems for Yett