Abstract
The study of pomonoid amalgams was initiated by Fakhuruddin in the 1980s and subsequently extended by Bulman-Fleming, Sohail and the authors in the 2000s. We further investigate pomonoids amalgams and in particular we consider the concept of subpomonoid amalgams possessing a suitable ordered version of the unitary property. If \([U; T_1, T_2]\) is an amalgam of subpomonoids of the amalgam \([U; S_1, S_2]\) we consider the question of whether the free product of the pomonoid amalgam \([U; T_1, T_2]\) is poembeddable in the free product of the pomonoid amalgam \([U; S_1, S_2]\), giving a sufficient condition in terms of strongly pounitary subpomonoids.
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Acknowledgements
This work formed part of the PhD thesis of the first named author submitted to the University of Southampton and written under the supervision of Dr. James Renshaw. The authors would like to thank the anonymous referee for their useful comments.
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Communicated by Victoria Gould.
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