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Continuability of cyclic extensions of complete discrete valuation fields. / Boitsov, V. G.; Zhukov, I. B.

In: Journal of Mathematical Sciences , Vol. 130, No. 3, 01.09.2005, p. 4643-4650.

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

Harvard

Boitsov, VG & Zhukov, IB 2005, 'Continuability of cyclic extensions of complete discrete valuation fields', Journal of Mathematical Sciences , vol. 130, no. 3, pp. 4643-4650. https://doi.org/10.1007/s10958-005-0359-9

APA

Boitsov, V. G., & Zhukov, I. B. (2005). Continuability of cyclic extensions of complete discrete valuation fields. Journal of Mathematical Sciences , 130(3), 4643-4650. https://doi.org/10.1007/s10958-005-0359-9

Vancouver

Boitsov VG, Zhukov IB. Continuability of cyclic extensions of complete discrete valuation fields. Journal of Mathematical Sciences . 2005 Sep 1;130(3):4643-4650. https://doi.org/10.1007/s10958-005-0359-9

Author

Boitsov, V. G. ; Zhukov, I. B. / Continuability of cyclic extensions of complete discrete valuation fields. In: Journal of Mathematical Sciences . 2005 ; Vol. 130, No. 3. pp. 4643-4650.

BibTeX

@article{f3bc8bb67361439084eb1ef65f23b8e3,
title = "Continuability of cyclic extensions of complete discrete valuation fields",
abstract = "For a complete discrete valuation field K of characteristic 0 with residue field of characteristic p > 0, consider the problem of embedding a given cyclic extension M/K of degree p into a cyclic extension of degree pn for various n. Let c(M/K) be equal to the maximal n for which this embedding problem has a solution. In this paper we consider relations between c(M/K) and c(LM/L), where L/K is a given extension linearly disjoint with M/K. Bibliography: 5 titles.",
author = "Boitsov, {V. G.} and Zhukov, {I. B.}",
year = "2005",
month = sep,
day = "1",
doi = "10.1007/s10958-005-0359-9",
language = "English",
volume = "130",
pages = "4643--4650",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Continuability of cyclic extensions of complete discrete valuation fields

AU - Boitsov, V. G.

AU - Zhukov, I. B.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - For a complete discrete valuation field K of characteristic 0 with residue field of characteristic p > 0, consider the problem of embedding a given cyclic extension M/K of degree p into a cyclic extension of degree pn for various n. Let c(M/K) be equal to the maximal n for which this embedding problem has a solution. In this paper we consider relations between c(M/K) and c(LM/L), where L/K is a given extension linearly disjoint with M/K. Bibliography: 5 titles.

AB - For a complete discrete valuation field K of characteristic 0 with residue field of characteristic p > 0, consider the problem of embedding a given cyclic extension M/K of degree p into a cyclic extension of degree pn for various n. Let c(M/K) be equal to the maximal n for which this embedding problem has a solution. In this paper we consider relations between c(M/K) and c(LM/L), where L/K is a given extension linearly disjoint with M/K. Bibliography: 5 titles.

UR - http://www.scopus.com/inward/record.url?scp=24344484684&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0359-9

DO - 10.1007/s10958-005-0359-9

M3 - Article

AN - SCOPUS:24344484684

VL - 130

SP - 4643

EP - 4650

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 51972376