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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on inner actions of Hopf algebras


Author: Stefaan Caenepeel
Journal: Proc. Amer. Math. Soc. 113 (1991), 31-39
MSC: Primary 16W30; Secondary 16H05
DOI: https://doi.org/10.1090/S0002-9939-1991-1069684-6
MathSciNet review: 1069684
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Abstract: Let $ H$ be a commutative, cocommutative, and faithfully projective Hopf algebra over a commutative ring $ R$. A twisted version of inner action of a Hopf algebra, called $ H$-inner action is introduced, and it is shown that $ H$ acts $ H$-innerly on an $ H$-Azumaya algebra, if $ \operatorname{Pic} ({H^ * })$ is trivial.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1069684-6
Keywords: Azumaya algebra, Hopf algebra, dimodule algebra
Article copyright: © Copyright 1991 American Mathematical Society