On principal element lattices

Shum K. P., Ulucak G., TEKİR Ü., KOÇ S.

Algebra Universalis, cilt.82, sa.2, 2021 (SCI-Expanded) identifier identifier

  • 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: Pr&#252, 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.