The Minor Order of Homomorphisms via Natural Dualities

2021/01/14 by Wolfgang Poiger, Poiger, Wolfgang, Bruno Teheux +1
Mathematics · #03C05 #06A07 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CO #math.RA #msc:03C05 #msc:06A07

paper · pdf · doi:10.48550/arxiv.2101.05545

arxiv created 2022/03/11 · arxiv updated 2022/03/14

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.

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