A presentation for the semigroup of order-preserving full contraction mappings of a finite chain
Kemal TOKER, Hayrullah Ayık · Communications in Algebra · 2024
For n∈Z+, let Xn={1,…,n} be a finite chain and Tn be the full transformation semigroup on Xn . If OCTn is the set of all order-preserving and full contraction mappings on Xn , then it is well-known that OCTn is a submonoid of Tn. In this paper we give a monoid presentation of OCTn.