c-Convex Subgroups of Finite Dimensional Cyclically Ordered Free Abelian Groups

被引：0

作者：

Rosjanuardi, Rizky ^{[1
]}

Gozali, Sumanang Muhtar ^{[1
]}

Albania, Imam Nugraha ^{[1
]}

机构：

[1] Univ Pendidikan Indonesia, Dept Math Educ, Fac Math & Nat Sci Educ, Bandung, Indonesia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2023年 / 18卷 / 01期

关键词：

c-convex subgroup; cyclic order; free abelian group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of finite dimensional free abelian groups and prove that there is a cyclic order for them. Moreover, we give a full description of its c-convex subgroups; i.e., the counterpart of the notion of order ideals of totally ordered abelian groups.

引用

页码：37 / 45

页数：9

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