极小I_稠密子集与I_极小理想

Mininal I-dense Subset and L.minimal Ideal

在半群中引入I_稠密子集和I_极小理想等新概念——它们分别是半群的稠密子集和极小理想(或0_极小理想)的推广,证明若半群S含有极小I_稠密子集,I_j(j∈J)是S的I_极小理想的全体,而x_j是I_j—I中的任意一个元素,则U{x_j}是S的极小I_稠密子集。

The new concepts of I-dense subset and I- minimal ideal-they are natural generalization of dense and minimal ide-al Cor O-minimal ideat)respeetively.It is proved that if a semigrouppose that I,(j<J) be all 1-minimal ideal of S and xi<Ij-I. S contains minimal I-dense subsets, then D= where sup-