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.
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