Then the relations among the classes of regular semigroups satisfying (IT), (IST), (QIT) and (QIST) are studied, and description for the classes of the ist_(qist)_regular semigroups are given.

本文将研究满足等式（IT） ，（IST） ，（QIT）以及（QIST）的正则半群类之间的关系，刻画这些正则半群。