Semigroup Forum

, Volume 84, Issue 1, pp 157–175

E-unitary almost factorizable orthodox semigroups

RESEARCH ARTICLE

DOI: 10.1007/s00233-011-9299-5

Cite this article as:
Hartmann, M. & Szendrei, M.B. Semigroup Forum (2012) 84: 157. doi:10.1007/s00233-011-9299-5
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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.

Keywords

Orthodox semigroupE-unitaryAlmost factorizableSemidirect product

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Bolyai InstituteUniversity of SzegedSzegedHungary