最后引进强准连续、强准开(闭)序同态，讨论它们的性质。
Finally, strong pre-continuity and strongly pre-open (closed) mappings are introduced and their properties are discussed.
在此基础上，最后引入并研究了几乎连续、几乎开和几乎闭序同态。
Bascd on this, al - most continuous, almost open and closed order-homomorphisms are intro - duced and studied.
借助于N -连续性概念，得到了连续和几乎连续序同态的一些特征。
From the concepts of N-continuity, we obtain some conclusion on continuous and almost continuous order-homomorphism.
利用正则开（闭）集引入LF拓扑空间之间的几种正则序同态和几种正则连续性，并讨论了它们的性质及其相互关系。
Regular order homomorphic mapping and regular continuity concepts are introduced by concepts of regular closed sets in LF topological spaces.
引进了自然序半格、偏序半群的自然序半格同态象和二次主根基等概念。
Concepts of natural ordering semilattices, natural ordering semilattice homomorphic images and principal square radicals on ordered semigroups are introduced.
刻划了具有P -正则自同态幺半群的二分图，讨论了字典序积图的自同态幺半群的P -正则性。
Bipartite graphs with P-regular endomorphism monoids are characterized. P-regularity of the endomorphism monoid of lexicographic product of graphs is discussed.
给出了有关自然偏序的的两个重要条件刻划，对具有逆断面的正则半群之间的同态进行了刻划，讨论了具有逆断面的正则半群的特殊同态像的条件。
Studying the condition about the natural partial order on it. And characterized the homomorphism between regular semigroups, discussing the conditions about the special homomorphism image.
给出了有关自然偏序的的两个重要条件刻划，对具有逆断面的正则半群之间的同态进行了刻划，讨论了具有逆断面的正则半群的特殊同态像的条件。
Studying the condition about the natural partial order on it. And characterized the homomorphism between regular semigroups, discussing the conditions about the special homomorphism image.
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