Semi-Generalized Bassian Groups
Group Theory
2023-08-29 v1 Rings and Algebras
Abstract
As a common non-trivial generalization of the concept of a proper generalized Bassian group, we introduce the notion of a semi-generalized Bassian group and initiate its comprehensive investigation. Precisely, we give a satisfactory characterization of these groups by showing in the cases of p-torsion groups, torsion-free groups and splitting mixed groups their complete description. Moreover, we classify the groups with the clearly related property that every subgroup is essential in a direct summand of the whole group.
Cite
@article{arxiv.2308.13948,
title = {Semi-Generalized Bassian Groups},
author = {Andrey R. Chekhlov and Peter V. Danchev and Patrick W. Keef},
journal= {arXiv preprint arXiv:2308.13948},
year = {2023}
}
Comments
14 pages