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

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Rizky Rosjanuardi, Sumanang Muhtar Gozali, Imam Nugraha Albania

2023 International Journal of Mathematics and Computer Science Vol. 18 Issue 1 Article Cited by 1 SDG 16 Quartile

Abstract

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. © 2023, International Journal of Mathematics and Computer Science. All Rights Reserved.

Affiliations

Department of Mathematics Education, Faculty of Mathematics and Natural Sciences Education, Universitas Pendidikan Indonesia, Bandung, Indonesia

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