Some preliminary results on the set of principal congruences of a finite lattice
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Publication:1652852
DOI10.1007/s00012-018-0487-yOpenAlexW2730432623MaRDI QIDQ1652852
Publication date: 16 July 2018
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05319
congruence latticejoin-irreducible congruenceprincipal congruenceprincipal congruence representable set
Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10)
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Cites Work
- Unnamed Item
- The ordered set of principal congruences of a countable lattice.
- The order of principal congruences of a bounded lattice
- Representing some families of monotone maps by principal lattice congruences
- Representing a monotone map by principal lattice congruences
- Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices
- Homomorphisms and principal congruences of bounded lattices. III. The independence theorem
- The Congruences of a Finite Lattice
- An independence theorem for ordered sets of principal congruences and automorphism groups of bounded lattices
- Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences
- Lattice Theory: Foundation
- Lattice Theory: Special Topics and Applications
- On congruence lattices of lattices