




Volume 37 • Number 4 • 2014 

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On ω^{1}Weakly p^{α}Projective Abelian pGroups
Peter Danchev
Abstract.
For any infinite ordinal α, we consider the class of ω^{1}Weakly p^{α}Projective pprimary 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 nsummable group of countable length α is also nsummable exactly when this subgroup is a C_{α} nsummable group. Our results substantially generalize those established by P. Keef in his recent publications
2010 Mathematics Subject Classification: 20K10
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