Yu. L. Ershov, “The number of linear orders on a field”, Mat. Zametki, 6:2 (1969), 201–211; Math. Notes, 6:2 (1969), 577

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Matematicheskie Zametki, 1969, Volume 6, Issue 2, Pages 201–211 (Mi mzm6924)

This article is cited in 2 scientific papers (total in 3 papers)

The number of linear orders on a field

Yu. L. Ershov

Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences

Full-text PDF (839 kB) Citations (3)

Abstract: An example is given of a field which can be ordered in exactly

$\aleph$ ways where

$\aleph$ is a given cardinal number.

Received: 01.07.1968

English version:
Mathematical Notes, 1969, Volume 6, Issue 2, Pages 577–582
DOI: https://doi.org/10.1007/BF01093702

Bibliographic databases:

UDC: 51.01.1

Language: Russian

Citation: Yu. L. Ershov, “The number of linear orders on a field”, Mat. Zametki, 6:2 (1969), 201–211; Math. Notes, 6:2 (1969), 577–582

Citation in format AMSBIB

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\by Yu.~L.~Ershov

\paper The number of linear orders on a~field

\jour Mat. Zametki

\yr 1969

\vol 6

\issue 2

\pages 201--211

\mathnet{http://mi.mathnet.ru/mzm6924}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=249342}

\zmath{https://zbmath.org/?q=an:0201.37302|0185.28802}

\transl

\jour Math. Notes

\yr 1969

\vol 6

\issue 2

\pages 577--582

\crossref{https://doi.org/10.1007/BF01093702}

Linking options:

https://www.mathnet.ru/eng/mzm6924

https://www.mathnet.ru/eng/mzm/v6/i2/p201

This publication is cited in the following 3 articles:

Katarzyna Osiak, “The Boolean space of $R$-places”, Rocky Mountain J. Math., 40:6 (2010)
S. S. Goncharov, I. A. Lavrov, V. D. Mazurov, A. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. A. Palyutin, D. M. Smirnov, “Yuri Leonidovich Ershov (on his 60th birthday)”, Russian Math. Surveys, 55:6 (2000), 1193–1204
E. Ya. Gabovich, “Fully ordered semigroups and their applications”, Russian Math. Surveys, 31:1 (1976), 147–216

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	147
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