The homorphisms from order-preserving transformation semigroup to orderpreserving partial transformation semigroup
GAO Jingnan, YANG Xiuliang · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
Let n be a positive integer.Let On and POn denote the order-preserving transformation semigroup and the order-preserving partial transformation semigroup on Xn={1,2,…,n} under composition respectively.We describe all homorphisms from On to POn,and give the number of homorphisms from On to POn.