The Minor Order of Homomorphisms via Natural Dualities
Combinatorics
2022-03-14 v2 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2101.05545,
title = {The Minor Order of Homomorphisms via Natural Dualities},
author = {Wolfgang Poiger and Bruno Teheux},
journal= {arXiv preprint arXiv:2101.05545},
year = {2022}
}