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The Minor Order of Homomorphisms via Natural Dualities

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.

preprint2022arXivOpen access
Wolfgang PoigerBruno Teheux
math.COmath.RA
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Wolfgang PoigerBruno Teheux

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