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On an article by R. Brown

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Abstract

We establish a sufficient condition for the existence of a root of a polynomial over a Henselian valued field, extending the main result of the article [1] by Brown.

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References

  1. Brown R., “Roots of generalized Schönemann polynomials in Henselian extension fields,” Indian J. Pure Appl. Math., 39, No. 5, 403–410 (2008).

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  2. Khanduja S. K. and Kumar M., “Prolongations of valuations to finite extensions,” Manuscripta Math., 131, No. 3–4, 323–334 (2010).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Yu. L. Ershov

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  1. Yu. L. Ershov
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Correspondence to Yu. L. Ershov.

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Original Russian Text Copyright © 2011 Ershov Yu. L.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 2, pp. 292–296, March–April, 2011.

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Ershov, Y.L. On an article by R. Brown. Sib Math J 52, 230–233 (2011). https://doi.org/10.1134/S0037446611020054

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  • DOI: https://doi.org/10.1134/S0037446611020054

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