On the Zariski topology over an L-module M
TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.2, ss.326-336, 2017 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.3906/mat-1502-31
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.326-336
- Anahtar Kelimeler: Lattice, lattice module, prime element, Zariski topology, PRIME SPECTRUM
- Marmara Üniversitesi Adresli: Evet
Özet
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.