On partially ordered algebras I
L. Fuchs (1966)
Colloquium Mathematicae
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Displaying similar documents to “A remark on the extension of the concept of incidence algebras to nonlocally finite partially ordered sets.”
On partially ordered algebras I
On partially ordered groups of locally finite length
Božena Černáková (1986)
Mathematica Slovaca
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Strengthened fixed point property and products in ordered sets
Josef Niederle (2007)
Mathematica Slovaca
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Antimorphisms of partially ordered sets
Milan R. Tasković (1989)
Archivum Mathematicum
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Characterizations of totally ordered sets by their various endomorphisms
Daniel Hort, Jan Chvalina, Jiří Moučka (2002)
Czechoslovak Mathematical Journal
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We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.