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Null extensions of the bicyclic semigroup \({\varvec{\mathcal {B}}}\) are inflations of \({\varvec{\mathcal {B}}}\)

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Abstract

We prove that a null extension of the bicyclic semigroup is an inflation of it.

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Acknowledgments

The authors thank the referee for comments improving the presentation of this paper.

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Authors and Affiliations

  1. School of Mathematical and Geospatial Sciences, RMIT University, 124 LaTrobe St., Melbourne, VIC, Australia

    G. T. Clarke

  2. 10 Albert Mansions, Crouch Hill, London, N8 9RE, UK

    R. A. R. Monzo

Authors
  1. G. T. Clarke
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  2. R. A. R. Monzo
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Corresponding author

Correspondence to R. A. R. Monzo.

Additional information

Communicated by Marcel Jackson.

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Clarke, G.T., Monzo, R.A.R. Null extensions of the bicyclic semigroup \({\varvec{\mathcal {B}}}\) are inflations of \({\varvec{\mathcal {B}}}\) . Semigroup Forum 89, 582–599 (2014). https://doi.org/10.1007/s00233-014-9587-y

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  • DOI: https://doi.org/10.1007/s00233-014-9587-y

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