Geodesic
Modules with the direct summand sum property
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 277-287
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The present work gives some characterizations of $R$-modules with the direct summand sum property (in short DSSP), that is of those $R$-modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of $R$-modules (injective or projective) with this property, over several rings, are presented.
The present work gives some characterizations of $R$-modules with the direct summand sum property (in short DSSP), that is of those $R$-modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of $R$-modules (injective or projective) with this property, over several rings, are presented.
Classification : 16D10, 16D40, 16D50, 16D60, 16D70
Keywords: modules; direct summands; sum property; Artinian rings 
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Vălcan, Dumitru. Modules with the direct summand sum property. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 277-287. http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a4/

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