# The Minor Order of Homomorphisms via Natural Dualities

@article{Poiger2022TheMO, title={The Minor Order of Homomorphisms via Natural Dualities}, author={Wolfgang Poiger and Bruno Teheux}, journal={Order}, year={2022} }

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.

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