تقرير
Semi-Generalized Bassian Groups
| العنوان: | Semi-Generalized Bassian Groups |
|---|---|
| المؤلفون: | Chekhlov, Andrey R., Danchev, Peter V., Keef, Patrick W. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Rings and Algebras, 20K10, 20K20, 20K30 |
| الوصف: | 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. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.13948 |
| رقم الأكسشن: | edsarx.2308.13948 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |