论文信息 - On the Zariski topology over an $L$-module $M$

On the Zariski topology over an $L$-module $M$

Let L be a multiplicative lattice and M be an L -module. In this study, we present a topology said to be the Zariski topology over σ(M), the collection of all prime elements of an L -module M. We research some results on the Zariski topology over σ(M). We show that the topology is a T0 -space and a T1 -space under some conditions. Some properties and results are studied for the topology over σ(L) , the collection of all prime elements of a multiplicative lattice L.

F. Çallıalp | Ünsal Tekir | G. Ulucak

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