On properties of n-totally projective Abelian p-groups
We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they...
Saved in:
| Published in: | Український математичний журнал |
|---|---|
| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/164413 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On properties of n-totally projective Abelian p-groups / P. Danchev, P. Keef // Український математичний журнал. — 2012. — Т. 64, № 6. — С. 766-771. — Бібліогр.: 9 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they have isometric p^n-socles
Доведено деякi властивостi n-тотально проекцiйних абелевих p-груп. При деяких додаткових умовах на будову груп встановлено еквiвалентнiсть понять n-тотальної проективностi та сильної n-тотальної проективностi. Також показано, що n-тотально проективнi A-групи iзоморфнi, якщо вони мають iзометричнi p^n-цоколi.
|
|---|---|
| ISSN: | 1027-3190 |