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Normally Ordered Inverse Semigroups

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NO

of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain consists of all aperiodic elements of NO . Also, we prove that NO is the join pseudovariety of inverse semigroups. PCS V G , where G is the pseudovariety of all finite groups.

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Fernandes, V. Normally Ordered Inverse Semigroups. Semigroup Forum 56, 418–433 (1998). https://doi.org/10.1007/PL00005955

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  • DOI: https://doi.org/10.1007/PL00005955

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