On the minimal submodules of a module
Abstract
For any module $M$ over a commutative ring $R$, $Spec^{s}_{R}(M)$ (resp. $Min_{R}(M)$) is the collection of all second (resp. minimal) submodules of $M$. In this article we investigate the interplay between the topological properties of $Min_{R}(M)$ and module theoretic properties of $M$. Also, for various types of modules $M$, we obtain some conditions under which $Min_{R}(M)$ is homeomorphic with the maximal ideal space of some ring.The authors retain all rights to the original work without any restrictions.
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