The Amalgamation Property for Varieties of Lattices

DOI10.2307/1999404zbMath0548.06002OpenAlexW4241865793MaRDI QIDQ3340909

Alan Day, Jaroslav Jezek

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999404

zbMATH Keywords

distributive latticesvarieties of latticesamalgamation propertybounded latticesprimitive lattices

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20)

Related Items

Directions in lattice theory ⋮ Jónsson's contributions to lattice theory ⋮ Projective geometries as cover-preserving sublattices ⋮ Obituary: R. Alan Day ⋮ The Ramsey and the ordering property for classes of lattices and semilattices ⋮ Multipasting of lattices ⋮ Algebraically closed algebras in certain small congruence distributive varieties ⋮ Pasting and Modular Lattices ⋮ Countable homogeneous lattices

Cites Work

• Splitting lattices generate all lattices
• The amalgamation property in equational classes of modular lattices
• Universal relational systems
• Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices
• Equational Bases and Nonmodular Lattice Varieties
• Unnamed Item