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Ramification in Elementary Abelian Extensions. / Zhukov, I. B.

в: Journal of Mathematical Sciences (United States), Том 202, № 3, 01.01.2014, стр. 404-409.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Zhukov, IB 2014, 'Ramification in Elementary Abelian Extensions', Journal of Mathematical Sciences (United States), Том. 202, № 3, стр. 404-409. https://doi.org/10.1007/s10958-014-2050-5

APA

Zhukov, I. B. (2014). Ramification in Elementary Abelian Extensions. Journal of Mathematical Sciences (United States), 202(3), 404-409. https://doi.org/10.1007/s10958-014-2050-5

Vancouver

Zhukov IB. Ramification in Elementary Abelian Extensions. Journal of Mathematical Sciences (United States). 2014 Янв. 1;202(3):404-409. https://doi.org/10.1007/s10958-014-2050-5

Author

Zhukov, I. B. / Ramification in Elementary Abelian Extensions. в: Journal of Mathematical Sciences (United States). 2014 ; Том 202, № 3. стр. 404-409.

BibTeX

@article{1e0f455cc470447196b65c7f092efaba,
title = "Ramification in Elementary Abelian Extensions",
abstract = "The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.",
author = "Zhukov, {I. B.}",
year = "2014",
month = jan,
day = "1",
doi = "10.1007/s10958-014-2050-5",
language = "English",
volume = "202",
pages = "404--409",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Ramification in Elementary Abelian Extensions

AU - Zhukov, I. B.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

AB - The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

UR - http://www.scopus.com/inward/record.url?scp=84919913867&partnerID=8YFLogxK

U2 - 10.1007/s10958-014-2050-5

DO - 10.1007/s10958-014-2050-5

M3 - Article

AN - SCOPUS:84919913867

VL - 202

SP - 404

EP - 409

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 51971982