On c-convex subgroups of direct sums of Z as cyclically ordered groups under the lexicographic order
Sumanang Muhtar Gozali, Rizky Rosjanuardi, I.N. Albania

Universitas Pendidikan Indonesia

Abstract

It has been shown that the only non-trivial c-convex subgroup of Z \oplus Z is 0\oplus Z. In this article, it will be presented some conditions of c-convex subgroups of the general direct sums of Z under lexicographic order.

Keywords: lexicographic order, cyclically ordered group, c-convex subgroup

Topic: Mathematic