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Proceedings of the American Mathematical Society

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A simple proof of the extension theorem of sequences of divided powers in characteristic $ p$


Author: Mitsuhiro Takeuchi
Journal: Proc. Amer. Math. Soc. 84 (1982), 175-178
MSC: Primary 16A24
DOI: https://doi.org/10.1090/S0002-9939-1982-0637163-8
Erratum: Proc. Amer. Math. Soc. 90 (1984), 172.
MathSciNet review: 637163
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Abstract: Using the idea of relative Hopf modules, a short proof of the extension theorem of sequences of divided powers in irreducible cocommutative Hopf algebras over a field of characteristic $ p > 0$ is presented.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0637163-8
Keywords: Hopf algebra, sequence of divided powers
Article copyright: © Copyright 1982 American Mathematical Society