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On duality over a certain divided power algebra with positive characteristic

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Abstract

The character group ofR is topologically isomorphic toR itself. On the contrary, it is impossible to construct anon-trivial homomorphism from the additive group of the field with characteristicp>0 to the multiplicative group of the field with the same characteristic. In this paper, we construct positive characteristic non-trivial characters and prove self-duality on a certain complete normed divided power algebra.

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  1. Dept. Math., Fac. Sci., Saitama University, 255 Shimo-ookubo, 338, Urawa, Saitama, Japan

    Takakazu Satoh

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  1. Takakazu Satoh
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Satoh, T. On duality over a certain divided power algebra with positive characteristic. Manuscripta Math 92, 153–172 (1997). https://doi.org/10.1007/BF02678187

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  • DOI: https://doi.org/10.1007/BF02678187

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