Automorphisms and products of ordered sets

DOI10.1007/BF01201105zbMath0554.06004OpenAlexW1995184902MaRDI QIDQ759776

Dwight Duffus

Publication date: 1984

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01201105

zbMATH Keywords

fixed point propertyconnected ordered setsfixed point free automorphismproduct of product indecomposable ordered sets

Mathematics Subject Classification ID

Partial orders, general (06A06) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (7)

The automorphism group of a function lattice: A problem of Jónsson and McKenzie ⋮ The fixed point property for ordered sets ⋮ Does the endomorphism poset $P^P$ determine whether a finite poset $P$ is connected? An issue Duffus raised in 1978 ⋮ Products of abstract polytopes ⋮ Powers of ordered sets ⋮ Algorithms for the fixed point property ⋮ Strict refinement for graphs and digraphs

Cites Work

• Unnamed Item
• Graph multiplication
• Isotone relations and the fixed point property for posets
• On direct product desomposition of partially ordered sets
• Retracts and the Fixed Point Problem for Finite Partially Ordered Sets
• A Logarithmic Property for Exponents of Partially Ordered Sets
• Refinement properties for relational structures
• Fixed points in partially ordered sets

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