Amalgamation classes of some distributive varieties

DOI10.1007/BF01278593zbMath0572.08007WikidataQ60143379 ScholiaQ60143379MaRDI QIDQ1062086

Clifford Bergman

Publication date: 1985

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

zbMATH Keywords

diagramembeddingsamalgamation classamalgamation basesvarieties of algebrasvarieties of latticesamalgamation property

Mathematics Subject Classification ID

Pseudocomplemented lattices (06D15) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20)

Related Items

Bjarni Jónsson's contributions in algebra ⋮ Filtral powers of structures ⋮ On the relationship of AP, RS and CEP in congruence modular varieties ⋮ Small congruence distributive varieties: retracts, injectives, equational compactness and amalgamation ⋮ Amalgamation in the pentagon variety ⋮ On amalgamation classes of pseudocomplemented semilattices ⋮ Non-axiomatizability of the amalgamation class of modular lattice varieties ⋮ Varieties with Cofinal Sets: Examples and Amalgamation ⋮ Algebraically closed algebras in certain small congruence distributive varieties ⋮ Amalgamation in small varieties of lattices

Cites Work

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• Varieties with equationally definable principal congruences
• Residually small varieties
• The amalgamation property in equational classes of modular lattices
• Ideals and congruence relations in lattices
• The Amalgamation Property, the Universal-Homogeneous Models, and the Generic Models.
• Structure Theory for Equational Classes Generated by Quasi-Primal Algebras
• Weak Injectivity and Congruence Extension in Congruence-Distributive Equational Classes
• Algebras Whose Congruence Lattices are Distributive.
• Homogeneous Universal Relational Systems.
• Algebraic Extensions of Relational Systems.
• Equational Classes of Distributive Pseudo-Complemented Lattices
• The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation