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Algebra Logika, 2002, Volume 41, Number 6, Pages 682–712 (Mi al202)  

Multi-Valued Fields. II

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The main model-theoretic results on multi-valued fields with near Boolean families of valuation rings obtained in authoor's book “Multi-Valued Fields” [in Russian], Nauch. Kniga, Novosibirsk (2000) (Ch.4, Sec.  4.6) are generalized along two lines: we weaken the restriction on being absolutely unramified to a condition of being finite for an absolute ramification index, and we combine, through context, Theorems 4.6.2 and 4.6.4 (4.6.3 and 4.6.5).

Keywords: multi-valued field, Boolean family of valuation rings, absolute ramification index

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English version:
Algebra and Logic, 2002, 41:6, 374–390

Bibliographic databases:

UDC: 510.53:512.52
Received: 15.10.2001

Citation: Yu. L. Ershov, “Multi-Valued Fields. II”, Algebra Logika, 41:6 (2002), 682–712; Algebra and Logic, 41:6 (2002), 374–390

Citation in format AMSBIB
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\by Yu.~L.~Ershov
\paper Multi-Valued Fields.~II
\jour Algebra Logika
\yr 2002
\vol 41
\issue 6
\pages 682--712
\mathnet{http://mi.mathnet.ru/al202}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1967770}
\zmath{https://zbmath.org/?q=an:1049.12008}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 6
\pages 374--390
\crossref{https://doi.org/10.1023/A:1021703629535}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249083766}


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