2019
Том 71
№ 7

# On properties of n-totally projective abelian p -groups

Abstract

We prove some properties of $n$-totally projective abelian $p$-groups. Under some 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.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 6, pp 875-880.

Citation Example: Danchev P. V., Keef P. On properties of n-totally projective abelian p -groups // Ukr. Mat. Zh. - 2012. - 64, № 6. - pp. 766-771.

Full text