本文提出了具有正则*-断面正则半群的概念,所给出的例子表明具有拟理想正则*-断面的正则半群类真包含了具有拟理想逆断面的正则半群类和正则*-半群类;最后刻画了具有拟理想正则*-断面的正则半群的结构.%In this paper a new concept of regular *-transversal in a regular semigroup is introduced. An example is given to show that it is different from that of orthodox transversal and that the class of regular semigroups with a quasi-ideal regular *-transversal is a proper generalization of both of the class of regular semigroups with a quasi-ideal inverse transversal and the class of regular * -semigroups. Finally, a construction of regular semigroups with a quasi-ideal regular *-transversal is described.
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