关于序半群的半格同余

On the Semilattice Congruences of Po-semigroups

N．Kehayopulu教授在[1]中提出“p0-半群上的半格同余‘N’是否为去掉最小半格同余”的问题。本文引进半格同余n，证明存在p0-半群S，S上的半格同余nN。

The probelm of the least properly of the semilattice congrcence on po - semigroups has been given by N. Kehayopule in [1, p1063]. We introduce the equivalence relation 'n',prove that 'n' is a semilattice congraence, and give the solation of the least properly of 'N'. We obtaon that: 'N'is not the least semilattice congraence in general.