Reflections on lower bounded lattices

K. V. Adaricheva, J. B. Nation

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Lattices in the variety LB(k) of lower bounded lattices of rank k are characterized. A sufficient condition for a lattice to be lower bounded is given, and used to produce a new example of a non-finitely-generated lower bounded lattice. Lattices that are subdirect products of finite lower bounded lattices are characterized.

Original languageEnglish
Pages (from-to)307-330
Number of pages24
JournalAlgebra Universalis
Volume53
Issue number2-3
DOIs
Publication statusPublished - Apr 1 2005

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Keywords

  • Join semidistributive lattice
  • Lattice
  • Lower bounded lattice
  • Reflection
  • Variety

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Adaricheva, K. V., & Nation, J. B. (2005). Reflections on lower bounded lattices. Algebra Universalis, 53(2-3), 307-330. https://doi.org/10.1007/s00012-005-1909-1