The lattice of convex subsets of a monounary algebra

DOI10.1007/S40840-017-0456-1zbMath1361.08001OpenAlexW2578758178MaRDI QIDQ523209

Zuzana Farkasová, Danica Jakubíková-Studenovská

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0456-1

zbMATH Keywords

distributive latticemodular latticecomplemented latticeconvex subsetmonounary algebraselfdual lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30) Unary algebras (08A60)

Cites Work

• The convexity lattice of a poset
• Subalgebra lattices of mono-unary algebras
• Sublattices of lattices of order-convex sets. I: The main representation theorem
• Lattices of quasiorders on universal algebras
• Modular and distributive congruence lattices of monounary algebras
• Topics in universal algebra
• Lattices of Convex Sets
• Characterization of lattices of convex subsets of posets
• Separation properties in congruence lattices of lattices
• On the Congruence Lattices of Unary Algebras
• Lattices With a Given Abstract Group of Automorphisms
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