Special t-semigroups generated by two elements
Mingxiang Deng · 2002
t-semigroups generated by two elements and satisfying the generating relations of xy=x 2=yx,or xy=y=yx(x,y∈S) are considered, three equivalent conditions about them are given.Some equivalent statements for cyclic t-semigroups are provided by introducing locally cyclic semigroups,indecomposable semigroups,condition A *,and condition P *.All these may be looked as the extension of theorem 6 in .Examples are prodvided for illustrative purpose.