Extensions of lattice-ordered groups

被引:0
|
作者
V. V. Bludov
V. M. Kopytov
机构
[1] Irkutsk State Teachers Training University,Institute of Mathematics, Siberian Branch
[2] Russian Academy of Sciences,undefined
来源
Algebra and Logic | 2008年 / 47卷
关键词
totally ordered group; virtually o-equivalent extension; Archimedean extension;
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摘要
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.
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页码:297 / 303
页数:6
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