Varieties with Cofinal Sets: Examples and Amalgamation

DOI10.2307/2048421zbMath0721.08005OpenAlexW4230938926MaRDI QIDQ5752631

Peter Bruyns, Henry Rose

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048421

zbMATH Keywords

ultrapowerpartition latticescongruence distributive varietyresidually small varietyamalgamationsubdirectly irreduciblecofinal setultra-universal variety

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Equational classes, universal algebra in model theory (03C05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20) Ultraproducts and related constructions (03C20) Subdirect products and subdirect irreducibility (08B26)

Related Items

Amalgamation in the pentagon variety

Cites Work

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• Amalgamation classes of some distributive varieties
• Every finite lattice can be embedded in a finite partition lattice
• Model theory
• Residually small varieties
• The Amalgamation Property, the Universal-Homogeneous Models, and the Generic Models.
• Absolute Retracts and Amalgamation in Certain Congruence Distributive Varieties
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation