@article{Koşar_Nebiyev_2015, title={t-Generalized Supplemented Modules}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2084}, abstractNote={In the present paper, $t$-generalized supplemented modules are defined starting from the generalized ⨁-supplemented modules. In addition, we present examples separating the $t$-generalized supplemented modules, supplemented modules, and generalized ⨁-supplemented modules and also show the equality of these modules for projective and finitely generated modules. Moreover, we define cofinitely $t$-generalized supplemented modules and give the characterization of these modules. Furthermore, for any ring $R$, we show that any finite direct sum of $t$-generalized supplemented $R$-modules is $t$-generalized supplemented and that any direct sum of cofinitely $t$-generalized supplemented $R$-modules is a cofinitely $t$-generalized supplemented module.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Koşar, B. and Nebiyev, C.}, year={2015}, month={Nov.}, pages={1491-1497} }