On finitely generated multiplication modules |
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Authors: | R Nekooei |
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Institution: | (1) Department of Mathematics, Shahid Bahonar University, Kerman, Iran |
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Abstract: | We shall prove that if M is a finitely generated multiplication module and Ann(M) is a finitely generated ideal of R, then there exists a distributive lattice M such that Spec(M) with Zariski topology is homeomorphic to Spec(M) to Stone topology. Finally we shall give a characterization of finitely generated multiplication R-modules M such that Ann(M) is a finitely generated ideal of R. |
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Keywords: | prime submodules multiplication modules distributive lattices spectral spaces |
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