2 research outputs found

    ON THE PRIME SPECTRUM OF MODULES

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    On the minimal submodules of a module

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