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Algebra i logika, 2008, Volume 47, Number 5, Pages 529–540 (Mi al373)  
Extensions of lattice-ordered groups

V. V. Bludova, V. M. Kopytov

a Irkutsk State Pedagogical University
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Abstract: A number of conditions are specified which are sufficient for totally ordered groups with polycyclic factor group to contain a finite normal series of convex subgroups whose factors possess good enough properties. In any case studying such totally ordered groups is reduced to treating extensions of these groups as well as their virtually $o$-equivalent extensions. The concept of a virtually $o$-equivalent extension is a particular case of the notion of an Archimedean extension.
Keywords: totally ordered group, virtually $o$-equivalent extension, Archimedean extension.
Received: 07.12.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 5, Pages 297–303
DOI: https://doi.org/10.1007/s10469-008-9028-7
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. V. Bludov, V. M. Kopytov, “Extensions of lattice-ordered groups”, Algebra Logika, 47:5 (2008), 529–540; Algebra and Logic, 47:5 (2008), 297–303
Citation in format AMSBIB
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