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P-algebras over multidimensional local fields

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Abstract

This article considers simple central algebras over multidimensional local algebras of exponent p, where p is the characteristic of the zero-dimensional residue field.

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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 Akademii Nauk SSSR, Vol. 175, pp. 121–127, 1989.

In conclusion, the author would like to express his gratitude to Professor A. S. Merkur'ev for his attention and assistance.

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Khalin, V.G. P-algebras over multidimensional local fields. J Math Sci 57, 3516–3519 (1991). https://doi.org/10.1007/BF01100123

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