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This article is cited in 8 scientific papers (total in 9 papers)
Completion of Linearly Ordered Groups
V. V. Bludov Irkutsk State Pedagogical University
Abstract:
We give examples of linearly ordered groups that are not embeddable in divisible orderable. In the first example, the group does not embed in any divisible group with strictly isolated unity. In the second example, the group in question is an $O^*$-group, and in the third, it is a group with a central system of convex subgroups.
Keywords:
linearly ordered group, $O^*$-group, centrally metabelian group, divisible group.
Received: 09.02.2005
Citation:
V. V. Bludov, “Completion of Linearly Ordered Groups”, Algebra Logika, 44:6 (2005), 664–681; Algebra and Logic, 44:6 (2005), 370–380
Linking options:
https://www.mathnet.ru/eng/al136 https://www.mathnet.ru/eng/al/v44/i6/p664
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Abstract page: | 377 | Full-text PDF : | 110 | References: | 70 | First page: | 1 |
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