Büyükaşık, EnginDemirci, Yılmaz Mehmet2014-08-142014-08-142010Büyükaşık E., Demirci, Y. M., "Weakly distributive modules. Applications to supplement submodules". Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences. Vol. 120, No. 5, November 2010, pp. 525–534.0253-4142http://www.ias.ac.in/mathsci/vol120/nov2010/pm-09-00229.PDFhttps://hdl.handle.net/11486/316In this paper, we define and study weakly distributive modules as a proper generalization of distributive modules.We prove that, weakly distributive supplemented modules are amply supplemented. In a weakly distributive supplemented module every submodule has a unique coclosure. This generalizes a result of Ganesan and Vanaja. We prove that ?-projective duo modules, in particular commutative rings, are weakly distributive. Using this result we obtain that in a commutative ring supplements are unique. This generalizes a result of Camillo and Lima. We also prove that any weakly distributive ?-supplemented module is quasi-discrete.enDistributive moduleSupplement submoduleArticle