Amalgamation in the pentagon variety

DOI10.1007/BF01212433zbMath0766.08004OpenAlexW2007632576MaRDI QIDQ1205161

Peter Bruyns, Colin Naturman, Henry Rose

Publication date: 1 April 1993

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212433

zbMATH Keywords

amalgamation classelementary classHorn sentencesreduced productslattice variety generated by a pentagon

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Equational classes, universal algebra in model theory (03C05) Varieties of lattices (06B20)

Related Items (2)

Filtral powers of structures ⋮ Algebraically closed algebras in certain small congruence distributive varieties

Cites Work

• Amalgamation in small varieties of lattices
• Amalgamation classes of some distributive varieties
• Non-axiomatizability of the amalgamation class of modular lattice varieties
• The amalgamation property in equational classes of modular lattices
• Primitive subsets of lattices
• Universal relational systems
• Nonmodular lattice 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
• Varieties with Cofinal Sets: Examples and Amalgamation

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