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Hopf extensions of algebras and Maschke type theorems

✍ Scribed by Yukio Doi

Book ID
112886826
Publisher
The Hebrew University Magnes Press
Year
1990
Tongue
English
Weight
395 KB
Volume
72
Category
Article
ISSN
0021-2172

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We prove a Maschke type theorem for Doi᎐Hopf modules. A sufficient condition in order to have a Maschke type property is that there exists a normalized integral map for the Doi᎐Hopf datum in question. The results are applied to graded modules and to Yetter᎐Drinfel'd modules. As another application,