On properties of n-totally projective Abelian p-groups

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Danchev, P., Keef, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164413
• 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.

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...