Notes on countable extensions of $p^{\omega +n}$-projectives
Danchev, Peter Vassilev
Archivum Mathematicum, Tome 044 (2008), p. 37-40 / Harvested from Czech Digital Mathematics Library
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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).

Publié le : 2008-01-01
Classification:  20K10,  20K25,  20K27,  20K35,  20K40 
@article{108094,
     author = {Peter Vassilev Danchev},
     title = {Notes on countable extensions of~$p^{\omega +n}$-projectives},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {37-40},
     zbl = {1203.20046},
     mrnumber = {2431229},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108094}
}

Danchev, Peter Vassilev. Notes on countable extensions of $p^{\omega +n}$-projectives. Archivum Mathematicum, Tome 044 (2008) pp. 37-40. http://gdmltest.u-ga.fr/item/108094/

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