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A Multiplicative Representation of Principal Units in Two-Dimensional Local Fields

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Abstract

This paper deals with conditions on the existence and uniqueness of the representation of principal units in two-dimensional complete fields as the product of principal units from a fixed set. Bibliography: 2 titles.

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REFERENCES

  1. I. B. Zhukov and A. I. Madunts, “Multidimensional complete fields: topology and other basic constructions,” Tr. St. Petersburg Mat. Ob., 3, 4–46 (1995).

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  2. I. B. Fesenko and S. V. Vostokov, “Local fields and their extensions. A constructive approach,” Transl. Math. Monographs, 121, AMS, Providence, Rhode Island (1993).

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Authors and Affiliations

  1. St.Petersburg State University, Russia

    V. G. Boitsov

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  1. V. G. Boitsov
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Boitsov, V.G. A Multiplicative Representation of Principal Units in Two-Dimensional Local Fields. Journal of Mathematical Sciences 112, 4249–4254 (2002). https://doi.org/10.1023/A:1020322331097

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  • DOI: https://doi.org/10.1023/A:1020322331097

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