On countable extensions of primary abelian groups

Peter Vassilev Danchev

A note on the countable extensions of separable $p^{ω + n}$ -projective abelian $p$ -groups

Peter Vassilev Danchev (2006)

Archivum Mathematicum

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It is proved that if $G$ is a pure $p^{ω + n}$ -projective subgroup of the separable abelian $p$ -group $A$ for $n \in N \cup {0}$ such that $| A / G | \leq ℵ_{0}$ , then $A$ is $p^{ω + n}$ -projective as well. This generalizes results due to Irwin-Snabb-Cutler (CommentṀathU̇nivṠtṖauli, 1986) and the author (Arch. Math. (Brno), 2005).

Notes on countable extensions of $p^{ω + n}$ -projectives

Peter Vassilev Danchev (2008)

Archivum Mathematicum

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We prove that if $G$ is an Abelian $p$ -group of length not exceeding $ω$ and $H$ is its $p^{ω + n}$ -projective subgroup for $n \in ℕ \cup {0}$ such that $G / H$ is countable, then $G$ is also $p^{ω + n}$ -projective. This enlarges results of ours in (Arch. Math. (Brno), 2005, 2006 and 2007) as well as a classical result due to Wallace (J. Algebra, 1971).

Displaying similar documents to “On countable extensions of primary abelian groups”

A note on the countable extensions of separable p ω + n -projective abelian p -groups

Notes on countable extensions of p ω + n -projectives

A note on the countable extensions of separable $p^{ω + n}$ -projective abelian $p$ -groups

Notes on countable extensions of $p^{ω + n}$ -projectives