3 papers
math.RA2024
The maximal subsemigroups of the ideals on a monoid of partial injections
Apatsara Sareeto, Jörg Koppitz
In the present paper, a submonoid of the well studied monoid of all order-preserving partial injections on an -element chain is studied. The set of all par…
math.RA2023
A presentation for a submonoid of the symmetric inverse monoid
Apatsara Sareeto, Jörg Koppitz
A fully invarient congruence relations on the free algebra on a given type induces a variety of the given type. In contrast, a congruence relation of the free algebra provides alge…
math.GR2022
The rank of the semigroup of order-, fence-, and parity-preserving partial injections on a finite set
Apatsara Sareeto, Jörg Koppitz
The monoid of all partial injections on a finite set (the symmetric inverse semigroup) is of particular interest because of the well-known Wagner-Preston Theorem. In this article,…