Geodesic
Primary Groups Whose Basic Subgroup Decompositions can be Lifted
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 38-42

Voir la notice de l'article provenant de la source Cambridge

DOI

A primary group G is said to be a l.i.b. group if every idempotent endomorphism of every basic subgroup of G can be extended to an endomorphism of G. We establish the following characterization: A primary group is a l.i.b. group if and only if it is the direct sum of a torsion complete group and a divisible group. The technique used consists of a close analysis of certain subgroups of Prufer-like primary groups.
DOI : 10.4153/CMB-1984-005-x
Mots-clés : 20K10 
Benabdallah, K.; Laroche, A. Primary Groups Whose Basic Subgroup Decompositions can be Lifted. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 38-42. doi: 10.4153/CMB-1984-005-x
@article{10_4153_CMB_1984_005_x,
     author = {Benabdallah, K. and Laroche, A.},
     title = {Primary {Groups} {Whose} {Basic} {Subgroup} {Decompositions} can be {Lifted}},
     journal = {Canadian mathematical bulletin},
     pages = {38--42},
     year = {1984},
     volume = {27},
     number = {1},
     doi = {10.4153/CMB-1984-005-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-005-x/}
}
TY  - JOUR
AU  - Benabdallah, K.
AU  - Laroche, A.
TI  - Primary Groups Whose Basic Subgroup Decompositions can be Lifted
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 38
EP  - 42
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-005-x/
DO  - 10.4153/CMB-1984-005-x
ID  - 10_4153_CMB_1984_005_x
ER  - 
%0 Journal Article
%A Benabdallah, K.
%A Laroche, A.
%T Primary Groups Whose Basic Subgroup Decompositions can be Lifted
%J Canadian mathematical bulletin
%D 1984
%P 38-42
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-005-x/
%R 10.4153/CMB-1984-005-x
%F 10_4153_CMB_1984_005_x

Cité par Sources :