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Communications in Algebra Volume 44, 2016 - Issue 9
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Original Articles

Maschke Type Theorems for Nonassociative Hopf Algebras

J. N. Alonso ÁlvarezDepartamento de Matemáticas, Universidade de Vigo, Campus Universitario Lagoas-Marcosende, Vigo, SpainCorrespondence[email protected]
&
C. Soneira CalvoDepartamento de Pedagoxía e Didáctica, Universidade da Coruña, Campus Universitario de Elviña, A Coruña, Spain
Pages 3727-3742 | Received 14 Jun 2014, Published online: 19 May 2016
 
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Abstract

In this article, we give necessary and sufficient conditions for a possibly nonassociative comodule algebra over a nonassociative Hopf algebra to have a total integral, thus extending the classical theory developed by Doi in the associative setting. Also, from this result we deduce a version of Maschke's Theorems and the consequent characterization of projectives for (H, B)-Hopf triples associated with a nonassociative Hopf algebra H and a nonassociative right H-comodule algebra B.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors thank the referee for insightful comments and suggestions.

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