A Class of ■-trivial Inverse Semigroups
Zhu Wen · Journal of Sichuan Normal University · 2009
In this paper,a new class of ■-trivial inverse semigroups is defined.The semilattice formed by the idempotents is the totally ordered setω~2.The construction for these ■-trivial inverse semigroups is studied.It is proved that the congruences on this kind of inverse semigroups are either group congruences or ■-trivial congruences.