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 language | English |
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Pages (from-to) | 307-330 |
Number of pages | 24 |
Journal | Algebra Universalis |
Volume | 53 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - Apr 2005 |
Keywords
- Join semidistributive lattice
- Lattice
- Lower bounded lattice
- Reflection
- Variety
ASJC Scopus subject areas
- Algebra and Number Theory