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

Ilinka Dimitrova; Jörg Koppitz

ArticleOriginal scientific text

Title

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

Authors ¹, ²

Affiliations

Faculty of Mathematics and Natural Science, South-West University "Neofit Rilski", Blagoevgrad, 2700, Bulgaria
Institute of Mathematics, Potsdam University Potsdam, 14469, Germany

Abstract

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}

.

Keywords

ENG

finite transformation semigroup, isotone and monotone partial transformations, maximal subsemigroups

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Title

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

Affiliations

Abstract

Keywords

Bibliography