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Authors: TRUONG CONG QUYNH, SERAP ŞAHINKAYA.
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. [3] and ADS-modules due to Alahmadi et al. [7]. A module M will be called a Goldie ADS module if for every decomposition M = S ⊕ T of M and every complement T l of S, there exists a submodule D of M such that T lβD and M = S ⊕ D. Various properties concerning direct sums of Goldie ADS modules are established.
Keywords: Goldie extending modules, ADS modules, CS modules.
