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Abelian groups with the direct summand sum property

Vălcan D.

Demonstratio Mathematica

2002

Vol. 35, nr 3

477-491

If R is an associative ring, with unity, the R- module (the abelian group) M is said to have the direct summand sum property (in short D.S.S.P.) if the sum (that is the submodule (the subgroup) of M generated by the union) of any two direct summands ofM is again a direct summand in M. The present work gives descriptions of some classes of abelian groups with this property.