تقرير
On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups
| العنوان: | On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups |
|---|---|
| المؤلفون: | Chekhlov, Andrey R., Danchev, Peter V. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Rings and Algebras |
| الوصف: | We consider two variants of those Abelian groups with all proper strongly invariant subgroups isomorphic and give an in-depth study of their basic and specific properties in either parallel or contrast to the Abelian groups with all proper fully invariant (respectively, characteristic) subgroups isomorphic, which are studied in details by the current authors in Commun. Algebra (2015) and in J. Commut. Algebra (2023). In addition, we also explore those Abelian groups having at least one proper strongly invariant subgroup isomorphic to the whole group. Comment: 15 pages. arXiv admin note: text overlap with arXiv:2301.08924 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.16224 |
| رقم الأكسشن: | edsarx.2307.16224 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |