Department of Algebra and Geometry, Prirodovedecka fakulta, Palacky University, Tomkova 40, 771 76 Olomouc, Czech Republic, e-mail: halas@risc.upol.cz, hort@risc.upol.cz
Abstract: 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.
Keywords: ordered sets, morphisms
Classification (MSC 2000): 06A10, 06A99
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