【摘要】 作者定义了从L₁^X到L₂^Y的映射σ,证明了σ是满足σ（x_λ⁰）=σ（λ）∧σ(x_I1⁰)的保并映射的充要条件是σ（A）=∨g（λ）∧f（Aλ）,其中f为X到L₁^Y的映射,g为L₁到L₂^Y的保并映射,且有f（X）≤g（I₁）;最后证明了一类序同态的分解定理,它们是前人相应结果的推广与补充。更多还原

【Abstract】 In this paper we define the mapping σ:where f is a mapping from X to L2Y,g is a mapping from L1 to L2Y Then we show the theorem:a mapping σ from L1X to L2Y is the mapping of union-preserving and satisfy-ing the condition ofwhere f is a mapping from X to L2Y,g is a mapping of unionpreserving from L1 to L2Y,and f(X)≤g(I1) Finally we give the decomposition theorem of a class of order homeo morphisms更多还原