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A note on the power semigroup of a completely simple semigroup

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Abstract

We prove the pseudovariety generated by power semigroups of completely simple semigroups is the semidirect product of the pseudovariety of block groups with the pseudovariety of right zero semigroups, and hence is decidable. This answers a question of Almeida from over 15 years ago.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, K1S 5B6, Canada

    Benjamin Steinberg

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  1. Benjamin Steinberg
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Correspondence to Benjamin Steinberg.

Additional information

Communicated by Jorge Almeida.

The author was supported in part by NSERC.

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Steinberg, B. A note on the power semigroup of a completely simple semigroup. Semigroup Forum 76, 584–586 (2008). https://doi.org/10.1007/s00233-008-9044-x

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  • DOI: https://doi.org/10.1007/s00233-008-9044-x

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