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On the Zariski topology over an L-module M

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsCallialp, Fethi; Ulucak, Gulden; Tekir, Unsal
dc.date.accessioned2022-04-25T00:11:10Z
dc.date.accessioned2026-01-11T17:14:32Z
dc.date.available2022-04-25T00:11:10Z
dc.date.issued2017
dc.description.abstractLet 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.
dc.identifier.doi10.3906/mat-1502-31
dc.identifier.eissn1303-6149
dc.identifier.issn1300-0098
dc.identifier.urihttps://hdl.handle.net/11424/263852
dc.identifier.wosWOS:000399289200010
dc.languageeng
dc.publisherSCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
dc.relation.ispartofTURKISH JOURNAL OF MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLattice
dc.subjectlattice module
dc.subjectprime element
dc.subjectZariski topology
dc.subjectPRIME SPECTRUM
dc.titleOn the Zariski topology over an L-module M
dc.typearticle
dspace.entity.typePublication
oaire.citation.endPage336
oaire.citation.issue2
oaire.citation.startPage326
oaire.citation.titleTURKISH JOURNAL OF MATHEMATICS
oaire.citation.volume41

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