The $OP$ subgroup of a torsion-free LCA group
Let $G$ be a locally compact abelian (LCA) group. We denote by $G_{op}$, the intersection of all open pure subgroups of $G$, which we call the $OP$ subgroup of $G$. In this paper, we prove that the $OP$ subgroup of a non-discrete, torsion-free LCA group $G$ is a non-zero pure subgroup of $G$.
Authors
- Aliakbar Alijani (ORCID: https://orcid.org/0000-0002-0022-2020)
Institutions
- Technical and Vocational University (IR)
Publication Details
- Journal
- SARAJEVO JOURNAL OF MATHEMATICS
- Published
- 2026-07-27
- DOI
- https://doi.org/10.5644/sjm.22.01.03
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00