半群可唯一地分解为archimedean半群的半格的十种等价条件

TEN EQUIVALENT CONDITIONS WITH THAT A SEMIGROUP IS UNIQUELY DECOMPOSED TO A SEMILATTICE OF ARCHIMEDEAN SEMIGROUPS

本文利用半群上的关系|、σ||、ρ、及滤子的概念结出了一个半群是archimedean半群的半格的十种等价条件．

This paper gives ten eguivalent conditions with that a semigroup is uniguely decomposed to asemilattice of archimedean semigroups in terms of relations and the concept of afilter on it.