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Cyclic algebras over a multidimensional local field

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Abstract

A criterion is obtained, under certain assumptions on the exponential, for when a simple central algebra over a multidimensional local field is a cyclic algebra.

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Authors
  1. V. G. Khalin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademiya Nauk SSSR, Vol. 191, pp. 152–157, 1991.

In conclusion the author expresses his gratitude to Professor Alexander Sergeevich Merkur'ev for discussion and attention to the paper.

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Khalin, V.G. Cyclic algebras over a multidimensional local field. J Math Sci 63, 700–703 (1993). https://doi.org/10.1007/BF01097985

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