ON THE CLASSICAL PRIME SPECTRUM OF LATTICE MODULES

On the Prime Spectrum of Torsion Modules

The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.

Zariski-Like Topology on the Classical Prime Spectrum of a Modules

zariski-like topology on the classical prime spectrum of a modules

A scheme over quasi-prime spectrum of modules

The notions of quasi-prime submodules and developed  Zariski topology was introduced by the present authors in cite{ah10}. In this paper we use these notions to define a scheme. For an $R$-module $M$, let $X:={Qin qSpec(M) mid (Q:_R M)inSpec(R)}$. It is proved that $(X, mathcal{O}_X)$ is a locally ringed space. We study the morphism of locally ringed spaces induced by $R$-homomorphism $Mrightar...

L-Prime Spectrum of Modules

We investigate the Zariski Topology on the L-prime spectrum of modules consisting of the collection of all prime Lsubmodules and prove some useful results.