On principal element lattices
Algebra Universalis, cilt.82, sa.2, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 82 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s00012-021-00714-9
- Dergi Adı: Algebra Universalis
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
- Anahtar Kelimeler: Prü, fer lattice, S-lattice, Principal element lattice, l-prime element, Principal element
- Marmara Üniversitesi Adresli: Evet
Özet
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.In this paper, we study principal element lattices, Prüfer lattices and Q-lattices. Also, a necessary and sufficient condition is given for a principally generated C-lattice to be a finite direct product of proper Dedekind domains.