On ω1-Weakly pα-Projective Abelian p-Groups

Peter Danchev

Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4

Résumé

For any infinite ordinal α, we consider the class of ω 1 -Weakly p α -Projective p -primary abelian groups and give its systematic study when α≤ω 1 . In particular, some applications are obtained for the ordinal α=ω⋅ 2 + n with $n ∈{N}$. One of the basic theorems is that a subgroup of an n -summable group of countable length α is also n -summable exactly when this subgroup is a C α n -summable group. Our results substantially generalize those established by P. Keef in his recent publications

Détail

Classification : 20K10