, Volume 84, Issue 1, pp 157-175
Date: 22 Mar 2011

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.

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.