On extensions of primary almost totally projective abelian groups
Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 149-155.
Voir la notice de l'article dans Czech Digital Mathematics Library
Suppose $G$ is a subgroup of the reduced abelian $p$-group $A$. The following two dual results are proved: $(*)$ If $A/G$ is countable and $G$ is an almost totally projective group, then $A$ is an almost totally projective group. $(**)$ If $G$ is countable and nice in $A$ such that $A/G$ is an almost totally projective group, then $A$ is an almost totally projective group. These results somewhat strengthen theorems due to Wallace (J. Algebra, 1971) and Hill (Comment. Math. Univ. Carol., 1995), respectively.
DOI :
10.21136/MB.2008.134056
Classification :
20K10, 20K25, 20K27, 20K35, 20K40
Mots-clés : totally projective group; almost totally projective group; countable group; extension
Mots-clés : totally projective group; almost totally projective group; countable group; extension
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TY - JOUR AU - Danchev, Peter V. TI - On extensions of primary almost totally projective abelian groups JO - Mathematica Bohemica PY - 2008 SP - 149 EP - 155 VL - 133 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.134056/ DO - 10.21136/MB.2008.134056 LA - en ID - 10_21136_MB_2008_134056 ER -
%0 Journal Article %A Danchev, Peter V. %T On extensions of primary almost totally projective abelian groups %J Mathematica Bohemica %D 2008 %P 149-155 %V 133 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.134056/ %R 10.21136/MB.2008.134056 %G en %F 10_21136_MB_2008_134056
Danchev, Peter V. On extensions of primary almost totally projective abelian groups. Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 149-155. doi : 10.21136/MB.2008.134056. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.134056/
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