We consider the group Bbb Z Ɨ lex Bbb Z as a linear ordered abelian group, and we induce
a cyclic order so that the group is cyclically ordered, and denote it as Bbb Z Ɨ COG Bbb Z …

c-Convex Subgroups of Finite Dimensional Cyclically Ordered Free Abelian Groups 1
Introduction Page 1 International Journal of Mathematics and Computer Science, 18(2023), no …

Given a group G equipped with a cyclic order so that G is cyclically ordered group. In this
condition, all subgroups of G are cyclically ordered. When the group G is finite the cyclic …

On c-convex subgroups of Z \oplus Z as a cyclically ordered group - NASA/ADS Now on home
page ads icon ads Enable full ADS view NASA/ADS On c-convex subgroups of Z \oplus Z as a …

Let G be a group equipped with a cyclic order such that G be a cyclically ordered group.
Under the given order and a particular condition on G, the positive cone P (G) of G is a …

Abstract Let Z⊕ Z be a group equipped with partial order denoted by⪯ and R (a, b, c) be a
ternary relation on group Z⊕ Z derived by⪯. On our study, the ternary relation R is not total …

A cyclically ordered group G has cyclically ordered subgroups. There could be a subgroup
that is both cyclically ordered and linear on a cyclically ordered group that is an external …

Order ideals play an important role in the study of abstract algebra, especially in the study of
ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct …

Topology of disjoint union of dual c-convex subgroups - NASA/ADS Now on home page ads
icon ads Enable full ADS view NASA/ADS Topology of disjoint union of dual c-convex …

Abstract Suppose (G,+, R) is a commutative group with a cyclic order. Motivated by results
on linearly ordered abelian groups (Γ,+,≤), in this article it will be discussed a fundamental …