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)
|