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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 5, Pages 1080–1084 (Mi smj3134)

On Brown polynomials. II

Yu. L. Ershov

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: The results of the author’s previous article are improved. We also establish that each irreducible polynomial over a Henselian valued field is a Brown polynomial.

Keywords: Henselian valued field, Brown polynomial.

UDC: 512.623.4

Received: 28.02.2019
Revised: 28.02.2019
Accepted: 12.03.2019

DOI: 10.33048/smzh.2019.60.507


 English version:
Siberian Mathematical Journal, 2019, 60:5, 842–845

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© Steklov Math. Inst. of RAS, 2025