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Keywords:
semigroup; regular; completely semisimple; completely regular; band of groups; normal band of groups; partial order; compatible with multiplication; coincidence of relations
semigroup; regular; completely semisimple; completely regular; band of groups; normal band of groups; partial order; compatible with multiplication; coincidence of relations
Summary:
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.
References:
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