Year: 2026
Type: article
Abstract: An Abelian group 𝐺 is called strongly not divisible if n G ≠ G nG\neq G for every integer n ≠ ± 1 n\neq\pm 1 . In J. A. Lewallen and N. Sagullo, A note on OI torsion abelian groups, Missouri J. Math. Sci. 27 (2015), 1, 33–36, a characterization of the torsion strongly not divisible groups (referred to there as OI-groups) was obtained. In this note, we provide characterizations for broad classes of torsion-free and mixed strongly not divisible groups.
Source: Journal of Group Theory
Authors: Grigore Călugăreanu, Andrey Chekhlov
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
Award: G1625808693
OpenAlex ID: W7155715430