Geodesic
A presentation for a submonoid of the symmetric inverse monoid
Ural mathematical journal, Tome 9 (2023) no. 2, pp. 175-192

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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.
Keywords: Symmetric inverse monoid, order-preserving, fence-preserving, presentation. 
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     title = {A presentation for a submonoid of the  symmetric inverse monoid},
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Apatsara Sareeto; Jörg Koppitz. A presentation for a submonoid of the  symmetric inverse monoid. Ural mathematical journal, Tome 9 (2023) no. 2, pp. 175-192. http://geodesic.mathdoc.fr/item/UMJ_2023_9_2_a14/