The lattice of quasiorder lattices of algebras on a finite set.

DOI10.1007/s00012-016-0373-4zbMath1338.08005OpenAlexW2271478670MaRDI QIDQ271695

Danica Jakubíková-Studenovská, Sándor Radeleczki, Reinhard Pöschel

Publication date: 7 April 2016

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

Full work available at URL: https://doi.org/10.1007/s00012-016-0373-4

zbMATH Keywords

congruencescompatible partial ordersjoin-irreducible elementsmeet-irreducible elementsmonounary algebrasquasiorder latticestolerance simple latticesunary operationsunary polynomials

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Relational systems, laws of composition (08A02) Automorphisms and endomorphisms of algebraic structures (08A35) Algebraic structures (08A99) Unary algebras (08A60) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (4)

Meet-irreducible congruence lattices ⋮ The lattice of congruence lattices of algebras on a finite set ⋮ Generalized quasiorders and the Galois connection End-gQuord ⋮ Aggregation on a finite lattice

Cites Work

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• Linear extensions of partial orders preserving monotonicity
• Complemented quasiorder lattices of monounary algebras
• Maximal extensions of partial orders preserving antimonotonicity
• The lattice of compatible quasiorders of acyclic monounary algebras
• The number of orthogonal permutations
• Linear orders on general algebras
• Notes on locally order-polynomially complete lattices
• IRREDUCIBLE QUASIORDERS OF MONOUNARY ALGEBRAS
• Lattices of quasiorders on universal algebras
• Generators for Alternating and Symmetric Groups
• On the Congruence Lattices of Unary Algebras

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