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Keywords:
ordered sets; morphisms
ordered sets; morphisms
Summary:
We characterize totally ordered sets within the class of all ordered sets containing at least four-element chains. We use a simple relationship between their isotone transformations and the so called 1-endomorphism which is introduced in the paper. Later we describe 1-, 2-, 3-, 4-homomorphisms of ordered sets in the language of super strong mappings.
References:
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[5] J. Jantosciak: Homomorphisms, equivalences and reductions in hypergroups. Riv. Mat. Pura Appl. 9 (1991), 23–47. MR 1133589 | Zbl 0739.20037
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