Structure of Partially Ordered Cyclic Semigroups |
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| Authors: | Jósef Drewniak Jolanta Sobera |
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| Institution: | 1. Institute of Mathematics, University of Rzeszów, Rzeszów, ul, Rejtana 16a, Poland
2. Department of Mathematics, University of Silesia, 40-007 Katowice, ul, Bankowa 14, Poland
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| Abstract: | 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. |
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