Journal of the Ramanujan Mathematical Society

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Topology on Spectrum of Modules


Affiliations
1 Department of Mathematics, Pondicherry University, Pondicherry 605 014, India
     

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We define a topology on spectrum of R-modules by means of its prime submodules and prove some results which are already known for Spec R. And we define Absolutely flat R-module which is a generalization of absolutely flat ring and prove some results on it.

Keywords

Prime Submodule, Spec R and Absolutely Flat Ring.
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  • Topology on Spectrum of Modules

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Authors

T. Duraivel
Department of Mathematics, Pondicherry University, Pondicherry 605 014, India

Abstract


We define a topology on spectrum of R-modules by means of its prime submodules and prove some results which are already known for Spec R. And we define Absolutely flat R-module which is a generalization of absolutely flat ring and prove some results on it.

Keywords


Prime Submodule, Spec R and Absolutely Flat Ring.