The maximal subsemigroups of the ideals of some semigroups of partial injections
Ilinka Dimitrova, Jörg Koppitz · Discussiones Mathematicae - General Algebra and Applications · 2009
We study the structure of the ideals of the semigroup IOn of all isotone (order-preserving) partial injections as well as of the semigroup IMn of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of IOn and IMn.