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

Danchev, Peter Vassilev. "Notes on countable extensions of $p^{\omega +n}$-projectives." Archivum Mathematicum 044.1 (2008): 37-40. <http://eudml.org/doc/250433>.

@article{Danchev2008,
abstract = {We prove that if $G$ is an Abelian $p$-group of length not exceeding $\omega $ and $H$ is its $p^\{\omega +n\}$-projective subgroup for $n\in \{\mathbb \{N\}\} \cup \lbrace 0\rbrace $ such that $G/H$ is countable, then $G$ is also $p^\{\omega +n\}$-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).},
author = {Danchev, Peter Vassilev},
journal = {Archivum Mathematicum},
keywords = {abelian groups; countable factor-groups; $p^\{\omega +n\}$-projective groups; Abelian -groups; countable factor-groups; projective -groups},
language = {eng},
number = {1},
pages = {37-40},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Notes on countable extensions of $p^\{\omega +n\}$-projectives},
url = {http://eudml.org/doc/250433},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Danchev, Peter Vassilev
TI - Notes on countable extensions of $p^{\omega +n}$-projectives
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 37
EP - 40
AB - We prove that if $G$ is an Abelian $p$-group of length not exceeding $\omega $ and $H$ is its $p^{\omega +n}$-projective subgroup for $n\in {\mathbb {N}} \cup \lbrace 0\rbrace $ such that $G/H$ is countable, then $G$ is also $p^{\omega +n}$-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).
LA - eng
KW - abelian groups; countable factor-groups; $p^{\omega +n}$-projective groups; Abelian -groups; countable factor-groups; projective -groups
UR - http://eudml.org/doc/250433
ER -