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In the present paper, we introduce and study Goldie ADS modules and rings, which subsume two generalizations of Goldie extending modules due to Akalan et al.  and ADS-modules due to Alahmadi et al. . A module M will be called a Goldie ADS module if for every decomposition M = S ⊕ T of M and every complement T of S, there exists a submodule D of M such that T βD and M = S ⊕ D. Various properties concerning direct sums of Goldie ADS modules are established. Mathematics Subjectdoi:10.24193/subbmath.2018.4.02 fatcat:bbrs357dnbglnoocl4vdududpm