TY  - JOUR
A1  - Musunthia, Tiwadee
A1  - Koppitz, Jörg
T1  - Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set
T2  - Forum mathematicum
N2  - In this paper, we study the maximal subsemigroups of several semigroups of order-preserving transformations on the natural numbers and the integers, respectively. We determine all maximal subsemigroups of the monoid of all order-preserving injections on the set of natural numbers as well as on the set of integers. Further, we give all maximal subsemigroups of the monoid of all bijections on the integers. For the monoid of all order-preserving transformations on the natural numbers, we classify also all its maximal subsemigroups, containing a particular set of transformations.
KW  - Transformation semigroups
KW  - maximal subsemigroups
KW  - order-preserving mappings
Y1  - 2017
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/46558
SN  - 0933-7741
SN  - 1435-5337
VL  - 29
SP  - 971
EP  - 984
PB  - De Gruyter
CY  - Berlin
ER  -