On the prevariety of perfect lattices

DOI10.1007/s00012-011-0115-6zbMath1225.06005OpenAlexW1974454818MaRDI QIDQ535109

K. V. Adaricheva

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00012-011-0115-6

zbMATH Keywords

complete latticecongruence lattice of a semilatticejoin-semidistributive latticeJónsson propertylattice of suborderslattice of subsemilatticeslower-bounded lattice

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Representation theory of lattices (06B15) Varieties of lattices (06B20)

Related Items (3)

Embeddability into relational lattices is undecidable ⋮ A refinement of the equaclosure operator ⋮ On scattered convex geometries

Cites Work

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• Semidistributive and coalgebraic lattices of subsemilattices
• Axiomatizable and nonaxiomatizable congruence prevarieties
• Weak distributive laws and their role in lattices of congruences and equational theories
• Two embedding theorems for lower bounded lattices
• Lattices of suborders
• The structure of the lattices of quasivarieties
• On lower bounded lattices.
• Congruence lattices of semilattices
• Join-semidistributive lattices and convex geometries.
• Lattices of algebraic subsets
• Sublattices of complete lattices with continuity conditions
• Reflections on lower bounded lattices
• Lattices That are Embeddable in Suborder Lattices
• Q-Universal Quasivarieties of Algebras
• Continuous Lattices and Domains
• The shape of congruence lattices

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