The Minor Order of Homomorphisms via Natural Dualities

[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 :

Mathematics

Author, co-author :

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)

External co-authors :

Language :

English

Title :

The Minor Order of Homomorphisms via Natural Dualities

Publication date :

2023

Journal title :

Order: A Journal on the Theory of Ordered Sets and its Applications

ISSN :

0167-8094

eISSN :

1572-9273

Publisher :

Kluwer Academic Publishers, Dordrecht, Netherlands

Volume :

Pages :

99-125

Peer reviewed :

Peer reviewed

Additional URL :

https://arxiv.org/abs/2101.05545

FnR Project :

FNR12246620 - Geometry, Probability And Their Synergies, 2017 (01/01/2019-30/06/2025) - Hugo Parlier

Available on ORBilu :

since 14 March 2022

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