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

Ilinka Dimitrova; Jörg Koppitz

Discussiones Mathematicae - General Algebra and Applications, Tome 29 (2009), p. 153-167 / Harvested from The Polish Digital Mathematics Library

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Résumé

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 $I M_{n}$ .

Publié le : 2009-01-01

Zbl 1198.20054

EUDML-ID : urn:eudml:doc:276858

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     year = {2009},
     pages = {153-167},
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Ilinka Dimitrova; Jörg Koppitz. The maximal subsemigroups of the ideals of some semigroups of partial injections. Discussiones Mathematicae - General Algebra and Applications, Tome 29 (2009) pp. 153-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1155/

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