Following the concept of generalized small submodule, we define g -supplemented modules and characterize some fundamental properties of these modules. Moreover, the generalized radical of a module is defined and the relationship between the generalized radical and the radical of a module is investigated. Finally, the definition of amply g -supplemented modules is given with some basic properties of these modules.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 6, pp. 861–864, June, 2015.
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Koşar, B., Nebiyev, C. & Sökmez, N. G-Supplemented Modules. Ukr Math J 67, 975–980 (2015). https://doi.org/10.1007/s11253-015-1127-8
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DOI: https://doi.org/10.1007/s11253-015-1127-8