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The maximal subsemigroups of the ideals of some semigroups of partial injections

Ilinka Dimitrova, Jörg Koppitz (2009)

Discussiones Mathematicae - General Algebra and Applications

We study the structure of the ideals of the semigroup I O n of all isotone (order-preserving) partial injections as well as of the semigroup I M n 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 I O n and I M n .

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