Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Topology on Spectrum of Modules


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

   Subscribe/Renew Journal


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.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 144

PDF Views: 0




  • Topology on Spectrum of Modules

Abstract Views: 144  |  PDF Views: 0

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.