Studies On E-inversive Semigroups And Fuzzy Ideals

The quasi ideals and the special case of E-inversive semigroups are discussedin this thesis, such as E-inversive E-semigroups,strongly eventually regular semi-groups and so on. In the frst part, we constructively prove that the localizationof E-inversive E-semigroups and strongly eventually regular semigroups exists. Inthe second part, the generalized defnition of sandwich set and some correspondingproperties on E-semigroup are given. In the third part, we simply characterize thefuzzy ideals on E-inversive semigroups.