مشخصات پژوهش

صفحه نخست /Goldie-Rad supplemented ...
عنوان Goldie-Rad supplemented modules
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها H-supplemented module, Rad-H-supplemented module, Goldie-(lifting)supplemented module, Goldie-Rad-supplemented module.
چکیده In this paper we introduce  relation on the lattice of submod- ules of a module M. We say that submodules X; Y of M are  equivalent, X Y , if and only if X+Y X  Rad(M)+X X and X+Y Y  Rad(M)+Y Y . We show that the  relation is an equivalence relation. We also investigate some general properties of this relation. This rela- tion is used to de ne and study classes of Goldie-Rad-supplemented and Rad-H-supplemented modules. We prove M = A  B is Goldie-Rad- supplemented if and only if A and B are Goldie-Rad-supplemented.
پژوهشگران عدنان ترجان (نفر سوم)، یحیی طالبی (نفر اول)، علیرضا منیری حمزه کلایی (نفر دوم)