讨论了具有E-逆断面的正则半群的性质;并给出了具有E-逆断面的正则半群的一种结构定理.%In this paper,we introduce a new inverse transversal E-inverse transversal.We discuss some natures of the regular semigroup with an E-inverse transversal.Furthermore we give the structure theorem of the regular semigroup with an E-inverse transversal.
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