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Algebra i 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
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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.
Received: 15.10.2001
English version:
Algebra and Logic, 2002, Volume 41, Issue 6, Pages 374–390
DOI: https://doi.org/10.1023/A:1021703629535
Bibliographic databases:
UDC: 510.53:512.52
Language: Russian
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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\paper Multi-Valued Fields.~II
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\issue 6
\pages 682--712
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\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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    		Алгебра и логика Algebra and Logic
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