2 research outputs found
On the minimal submodules of a module
‎For any module over a commutative ring ‎, ‎ (resp‎. ‎)‎ is the collection of all second (resp‎. ‎minimal) submodules of ‎. ‎In this article we investigate‎ ‎the interplay between the topological properties of and module theoretic properties of‎ ‎‎. ‎Also‎, ‎for various types of modules ‎, ‎we obtain some conditions under which ‎ ‎is homeomorphic with the maximal ideal space of some ring‎