![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
As a natural generalization of homomorphisms and congruences of semigroup theory without order, we introduce the concepts of QO-homomorphisms and Q-pseudoorders in ordered semigroup theory. First, we obtain properties and three isomorphism theorems for QO-homomorphisms and Q-pseudoorders, then by use them we investigate Rees Q-pseudoorders determined by ideals of ordered semigroups and Q-pseudoorders on ordered Abelian groups, respectively.
Acknowledgment
The author would like to thank the referee for his valuable suggestions.