A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID

In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will pro...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Ural mathematical journal 2023-12, Vol.9 (2), p.175
Hauptverfasser:	Sareeto, Apatsara, Koppitz, Jörg
Format:	Artikel
Sprache:	eng
Schlagworte:	symmetric inverse monoid, order-preserving, fence-preserving, presentation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will provide a presentation for this monoid.
ISSN:	2414-3952 2414-3952
DOI:	10.15826/umj.2023.2.015