محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | Preprint |
| منشور في: |
2024
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://arxiv.org/abs/2403.08096 |
| الوسوم: |
إضافة وسم
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جدول المحتويات:
- Trying to finalize in some way the present subject, this paper targets to generalize substantially the notions of Bassian and co-Bassian groups by introducing the so-called finitely (co-)Bassian groups, semi (co-)Bassian groups, fully generalized (co-)Bassian groups, absolutely generalized (co-)Bassian groups and establishing their crucial properties and characterizations. In fact, some of the concepts give nothing new by coinciding in the reduced case with the well-known (co-)Bassian property. However, in some of the definitions, the situation is slightly more complicated and we obtain a few new and interesting things by showing that the extensions of the Bassian and co-Bassian properties are totally distinct each other.