On three lattices that belong to every semigroup

Robert Šulka

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Displaying similar documents to “On three lattices that belong to every semigroup”

Nilpotency in semigroups and sublattices of their Booleans

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Structure of partially ordered cyclic semigroups

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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.