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Construction of a cyclic extension of degree $p^2$ of a complete field. / Zhukov, I. ; Lysenko, E. .

In: Journal of Mathematical Sciences, Vol. 234, No. 2, 2018, p. 148-157.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhukov, I & Lysenko, E 2018, 'Construction of a cyclic extension of degree $p^2$ of a complete field', Journal of Mathematical Sciences, vol. 234, no. 2, pp. 148-157.

APA

Zhukov, I., & Lysenko, E. (2018). Construction of a cyclic extension of degree $p^2$ of a complete field. Journal of Mathematical Sciences, 234(2), 148-157.

Vancouver

Zhukov I, Lysenko E. Construction of a cyclic extension of degree $p^2$ of a complete field. Journal of Mathematical Sciences. 2018;234(2):148-157.

Author

Zhukov, I. ; Lysenko, E. . / Construction of a cyclic extension of degree $p^2$ of a complete field. In: Journal of Mathematical Sciences. 2018 ; Vol. 234, No. 2. pp. 148-157.

BibTeX

@article{637f3fd5cbcf462bb4eef3a9d1f06ed6,
title = "Construction of a cyclic extension of degree $p^2$ of a complete field",
abstract = "The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree p2. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.",
author = "I. Zhukov and E. Lysenko",
note = "Zhukov, I., Lysenko, E. Construction of a Cyclic Extension of Degree p2 for a Complete Field. J Math Sci 234, 148–157 (2018). https://doi.org/10.1007/s10958-018-3991-x",
year = "2018",
language = "русский",
volume = "234",
pages = "148--157",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Construction of a cyclic extension of degree $p^2$ of a complete field

AU - Zhukov, I.

AU - Lysenko, E.

N1 - Zhukov, I., Lysenko, E. Construction of a Cyclic Extension of Degree p2 for a Complete Field. J Math Sci 234, 148–157 (2018). https://doi.org/10.1007/s10958-018-3991-x

PY - 2018

Y1 - 2018

N2 - The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree p2. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.

AB - The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree p2. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.

UR - https://link.springer.com/article/10.1007/s10958-018-3991-x

M3 - статья

VL - 234

SP - 148

EP - 157

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 39154802