The Minor Order of Homomorphisms via Natural Dualities

Reference : The Minor Order of Homomorphisms via Natural Dualities


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/50577

Title :	The Minor Order of Homomorphisms via Natural Dualities
Language :	English
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) >]
Publication date :	2022
Journal title :	Order: A Journal on the Theory of Ordered Sets and its Applications
Publisher :	Kluwer Academic Publishers
Peer reviewed :	Yes
Audience :	International
ISSN :	0167-8094
e-ISSN :	1572-9273
City :	Dordrecht
Country :	Netherlands
Keywords :	[en] minor relation ; minor poset ; natural dualities ; universal algebra ; reconstruction problems
Abstract :	[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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/50577
Other URL :	https://arxiv.org/abs/2101.05545
FnR project :	FnR ; FNR12246620 > Hugo Parlier > GPS > Geometry, Probability And Their Synergies > 01/01/2019 > 30/06/2025 > 2017

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