Turkish Journal of Mathematics
Abstract
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 $\sigma (M),$ the collection of all prime elements of an $L$-module $M.$ We research some results on the Zariski topology over $\sigma (M).$ We show that the topology is a $T_{0}$-space and a $T_{1}$-space under some conditions. Some properties and results are studied for the topology over $\sigma (L)$, the collection of all prime elements of a multiplicative lattice $L.$
DOI
10.3906/mat-1502-31
Keywords
Lattice, lattice module, prime element, Zariski topology
First Page
326
Last Page
336
Recommended Citation
ÇALLIALP, FETHİ; ULUCAK, GÜLŞEN; and TEKİR, ÜNSAL
(2017)
"On the Zariski topology over an $L$-module $M$,"
Turkish Journal of Mathematics: Vol. 41:
No.
2, Article 10.
https://doi.org/10.3906/mat-1502-31
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss2/10
