可换偏序半群的同态与商序同态的若干重要性质

摘要

We depict properties of partially ordered homomorphisms and quotient ordered homomorphisms of commutative partially ordered semigroups by positive cone P1,partially ordered unitary subsemigroup P and unitary subsemigroup M(∈)P and partial order extensions on unitary subsemigroup containing partially ordered unitary subsemigroup P of commutative partially ordered semigroups,and obtain some important conclusions.%通过可换偏序半群的正锥P1、偏序幺子半群P、包含P的子幺半群M和可换偏序半群关于包含偏序幺子半群P的子幺半群的偏序扩张,对可换偏序半群的偏序同态和商序同态的性质进行了刻画,并得到了一些重要结论.