2018
DOI: 10.48550/arxiv.1807.04024
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On the prime spectrum of an le-module

M. Kumbhakar,
A. K. Bhuniya

Abstract: Here we continue to characterize a recently introduced notion, le-modules R M over a commutative ring R with unity [7]. This article introduces and characterizes Zariski topology on the set Spec(M ) of all prime submodule elements of M . Thus we extend many results on Zariski topology for modules over a ring to le-modules. The topological space Spec(M) is connected if and only if R/Ann(M ) contains no idempotents other than 0 and 1. Open sets in the Zariski topology for the quotient ring R/Ann(M ) induces a ba… Show more

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