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Matematicheskie Zametki, 2001, Volume 69, Issue 5, Pages 708–712
DOI: https://doi.org/10.4213/mzm534 (Mi mzm534) 		 
Embeddings in Lattice-$O^*$-Groups

N. Ya. Medvedev

Altai State University
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DOI: https://doi.org/10.4213/mzm534
Abstract: In the paper, the following results are obtained: the existence of simple divisible lattice-$O^*$-groups is established (Theorem 2.1) and it is proved that any countable lattice-orderable or right-orderable group can be isomorphically embedded in a simple divisible lattice-$O^*$-group (Theorem 2.2 and Corollary 2.3).
Received: 03.04.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 5, Pages 652–656
DOI: https://doi.org/10.1023/A:1010205726141
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: N. Ya. Medvedev, “Embeddings in Lattice-$O^*$-Groups”, Mat. Zametki, 69:5 (2001), 708–712; Math. Notes, 69:5 (2001), 652–656
Citation in format AMSBIB
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\paper Embeddings in Lattice-$O^*$-Groups
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\vol 69
\issue 5
\pages 708--712
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\transl
\jour Math. Notes
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\vol 69
\issue 5
\pages 652--656
\crossref{https://doi.org/10.1023/A:1010205726141}
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