On principal element lattices

Shum K. P. , Ulucak G., Tekir Ü., Koç S.

ALGEBRA UNIVERSALIS, vol.82, no.2, 2021 (Peer-Reviewed Journal) 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, Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: Pr&#252, fer lattice, S-lattice, Principal element lattice, l-prime element, Principal element

Abstract

In this paper, we study principal element lattices, Prufer 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.