Strongly Eventually Regular Congruences on E-Inversive Semigroups
Hengwu Zheng, Huiling Ren · 2010
The concept of strongly eventually regular congruences on E-inversive semigroups is introduced. Some properties of strongly eventually reg-ular congruences on E-inversive semigroups are given. Some examples are given, which illustrates that the strongly eventually regular congru-ence on an E-inversive semigroup is generally uniquely determined by neither its kernel and trace nor its idempotent classes. Strongly even-tually regular congruences on an E-inversive semigroup are explored by the consideration of the kernel and the trace of a strongly eventually regular congruence and their mutual relationship.