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Compatible total orders on bisimple inverse w-semigroups

Medeiros, Paulo

Semigroup Forum - Volume 81, Issue1 (2010), 200-216
http://link.springer.com/article/10.1007%2Fs00233-010-9244-z

In this paper we describe explicitly the compatible total orders on bisimple inverse ?-semigroups in terms of total orders on groups naturally associated with the semigroup