ON ORDERED GROUPS OF MORLEY O-RANK

被引：3

作者：

Verbovskiy, V. V. ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Abylai Khan St 1-1, Kaskelen 0400900, Kazakhstan

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2018年 / 15卷

关键词：

ordered group; weak o-minimality; o-stability; rank;

D O I：

10.17377/semi.2018.15.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a cut s in an ordered structure M we can define a localization of Morley rank-Morley o-rank, replacing each formula in definition of Morley rank with the following partial types: the cut s extended with this formula. We prove in the paper that any ordered group of Morley o-rank 1 with boundedly many definable convex subgroups is weakly o-minimal and construct an example of an ordered group of Morley o-rank 1 and Morley o-degree at most 4.

引用

页码：314 / 320

页数：7

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