A Hopf module characterization of Hopf algebras
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- by David E. Radford PDF
- Proc. Amer. Math. Soc. 88 (1983), 8-10 Request permission
Abstract:
A bialgebra over a field is a Hopf algebra if and only if all (nonzero) right Hopf modules are free, as modules, on a set of invariants.References
- David E. Radford, On bialgebras which are simple Hopf modules, Proc. Amer. Math. Soc. 80 (1980), no. 4, 563–568. MR 587928, DOI 10.1090/S0002-9939-1980-0587928-4
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 8-10
- MSC: Primary 16A24
- DOI: https://doi.org/10.1090/S0002-9939-1983-0691268-5
- MathSciNet review: 691268