On principal element lattices

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

Algebra Universalis, vol.82, no.2, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 82 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1007/s00012-021-00714-9
  • Journal Name: Algebra Universalis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: Pr&#252, fer lattice, S-lattice, Principal element lattice, l-prime element, Principal element
  • Marmara University Affiliated: Yes

Abstract

© 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.