A simple proof of Vinogradov’s theorem on the orderability of the free product of o -groups

Gábor Révész

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 2, page 310-312
  • ISSN: 0011-4642

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Révész, Gábor. "A simple proof of Vinogradov’s theorem on the orderability of the free product of $o$-groups." Czechoslovak Mathematical Journal 37.2 (1987): 310-312. <http://eudml.org/doc/13641>.

@article{Révész1987,
author = {Révész, Gábor},
journal = {Czechoslovak Mathematical Journal},
keywords = {linearly ordered group; triangular matrix; group algebra; direct product; embedding; free product of o-groups},
language = {eng},
number = {2},
pages = {310-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A simple proof of Vinogradov’s theorem on the orderability of the free product of $o$-groups},
url = {http://eudml.org/doc/13641},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Révész, Gábor
TI - A simple proof of Vinogradov’s theorem on the orderability of the free product of $o$-groups
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 2
SP - 310
EP - 312
LA - eng
KW - linearly ordered group; triangular matrix; group algebra; direct product; embedding; free product of o-groups
UR - http://eudml.org/doc/13641
ER -

References

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  1. Fuchs L., Partially ordered algebraic structures, Pergamon Press, Oxford, 1963. (1963) 
  2. Johnson R. E., 10.1090/S0002-9939-1968-0227279-5, Proc. Amer. Math. Soc. 19 (1968), 697-700. (1968) Zbl0157.05004MR0227279DOI10.1090/S0002-9939-1968-0227279-5
  3. Mura R. B., Rhemtulla A., Orderable groups, Dekker, New York, 1977. (1977) Zbl0452.06011MR0491396
  4. Vinogradov A. A., On the free product of ordered groups, (in Russian), Mat. Sbornik, 25 (1949), 163-168. (1949) MR0031482

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