ON THE MINIMAL SUBMODULES OF A MODULE H

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