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Matematicheskie Zametki, 1972, Volume 12, Issue 4, Pages 477–487 (Mi mzm9906)  
Free ordered modules

A. V. Mikhalev, M. A. Shatalova

M. V. Lomonosov Moscow State University
Full-text PDF (1283 kB)
Abstract: We establish the necessary and sufficient condition on a partially ordered set $\mathrm{S}$ such that a free ordered $\mathrm{R}$-module ($\mathrm{R}$ is a linearly ordered ring without divisors of zero) over the set $\mathrm{S}$ is $\mathrm{o}$-isomorphic with a free ordered $\mathrm{R}$-module over a trivially ordered set.
Received: 26.06.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 4, Pages 720–726
DOI: https://doi.org/10.1007/BF01093680
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. V. Mikhalev, M. A. Shatalova, “Free ordered modules”, Mat. Zametki, 12:4 (1972), 477–487; Math. Notes, 12:4 (1972), 720–726
Citation in format AMSBIB
\Bibitem{MikSha72}
\by A.~V.~Mikhalev, M.~A.~Shatalova
\paper Free ordered modules
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 4
\pages 477--487
\mathnet{http://mi.mathnet.ru/mzm9906}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=337722}
\zmath{https://zbmath.org/?q=an:0276.06015}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 4
\pages 720--726
\crossref{https://doi.org/10.1007/BF01093680}
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