minor relation; minor poset; natural dualities; universal algebra; reconstruction problems
Résumé :
[en] We study the minor relation for algebra homomorphims in finitely generated quasivarieties that admit a logarithmic natural duality. We characterize the minor homomorphism posets of finite algebras in terms of disjoint unions of dual partition lattices and investigate reconstruction problems for homomorphisms.
Disciplines :
Mathématiques
Auteur, co-auteur :
POIGER, Wolfgang ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
TEHEUX, Bruno ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
The Minor Order of Homomorphisms via Natural Dualities
Date de publication/diffusion :
2023
Titre du périodique :
Order: A Journal on the Theory of Ordered Sets and its Applications
