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E-unitary almost factorizable orthodox semigroups

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Abstract

It is established that an E-unitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect product of a band by a group, and a necessary and sufficient condition is given for an E-unitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect product. Moreover, the structure of every E-unitary almost factorizable orthodox semigroup is described by means of bands and groups.

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References

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, 6720, Szeged, Hungary

    Miklós Hartmann & Mária B. Szendrei

Authors
  1. Miklós Hartmann
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  2. Mária B. Szendrei
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Corresponding author

Correspondence to Miklós Hartmann.

Additional information

Communicated by László Márki.

Research partially supported by the Hungarian National Foundation for Scientific Research grants no. T48809 and K60148, and by the National Development Agency grant no. TAMOP-4.2.1/B-09/1/KONV-2010-0005.

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Hartmann, M., Szendrei, M.B. E-unitary almost factorizable orthodox semigroups. Semigroup Forum 84, 157–175 (2012). https://doi.org/10.1007/s00233-011-9299-5

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  • DOI: https://doi.org/10.1007/s00233-011-9299-5

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