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Algebra i logika, 2022, Volume 61, Number 5, Pages 541–551
DOI: https://doi.org/10.33048/alglog.2022.61.502 (Mi al2728) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Pre-minimal pairs and homogeneous valuations

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/alglog.2022.61.502
Abstract: We offer for consideration and study the concept of a pre-minimal pair. Also we examine extensions of valuations of a field $F$ to valuations of the rational function field $F(x)$ in one variable.
Keywords: pre-mimimal pair, valuation of field.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
Received: 31.10.2022
Revised: 09.08.2023
English version:
Algebra and Logic, 2022, Volume 61, Issue 5, Pages 363–371
DOI: https://doi.org/10.1007/s10469-023-09705-2
Document Type: Article
UDC: 512.623.4
Language: Russian
Citation: Yu. L. Ershov, “Pre-minimal pairs and homogeneous valuations”, Algebra Logika, 61:5 (2022), 541–551; Algebra and Logic, 61:5 (2022), 363–371
Citation in format AMSBIB
\Bibitem{Ers22}
\by Yu.~L.~Ershov
\paper Pre-minimal pairs and homogeneous valuations
\jour Algebra Logika
\yr 2022
\vol 61
\issue 5
\pages 541--551
\mathnet{http://mi.mathnet.ru/al2728}
\transl
\jour Algebra and Logic
\yr 2022
\vol 61
\issue 5
\pages 363--371
\crossref{https://doi.org/10.1007/s10469-023-09705-2}
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  • https://www.mathnet.ru/eng/al2728
  • https://www.mathnet.ru/eng/al/v61/i5/p541
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    		Алгебра и логика Algebra and Logic
     
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