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Certain Partial Orders on Semigroups
Authors:Mario Petrich
Affiliation:(1) Department of Mathematics, Univesity of Zagreb, Croatia
Abstract:Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincidences of some of these relations are studied mainly on regular and completely regular semigroups.
Keywords:semigroup  regular  completely semisimple  completely regular  band of groups  normal band of groups  partial order  compatible with multiplication  coincidence of relations
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