On three lattices that belong to every semigroup
Robert Šulka (1984)
Mathematica Slovaca
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Robert Šulka (1984)
Mathematica Slovaca
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Józef Drewniak, Jolanta Sobera (2003)
Czechoslovak Mathematical Journal
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This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.
D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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Jill A. Dumesnil (1997)
Czechoslovak Mathematical Journal
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