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

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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
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