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Modules with the Direct Summand Sum Property

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Abstract

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.

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Authors and Affiliations

  1. Dept. of Mathematics, Str. M. Kogălniceanu Nr. 1, Babeş-Bolyai University, 3400, Cluj-Napoca, Romania

    Dumitru Vălcan

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  1. Dumitru Vălcan
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Vălcan, D. Modules with the Direct Summand Sum Property. Czechoslovak Mathematical Journal 53, 277–287 (2003). https://doi.org/10.1023/A:1026223001032

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  • DOI: https://doi.org/10.1023/A:1026223001032

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