Some special subsemigroups of regular semigroups with an inverse transversal was discussed. These subsemigroups play a decisive role in constructing regular semigroups with an inverse transversal.

• 摘要讨论了具有逆断面的正则半群的一些特殊子半群。这些子半群在构造具有逆断面的正则半群中起决定性作用。