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.
讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。
By using weak noncompact types conditions, we obtain an existence theorem of generalized weak solutions to (cp), improving the results of weak solutions in,.
讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。
By using weak noncompact types conditions, we obtain an existence theorem of generalized weak solutions to (cp), improving the results of weak solutions in,.
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