In this paper, we introduce the notion of left weakly regular semigroup and show that in a commutative semigroup, the complete regularity, regularity, left resp.
介绍弱左正则幺半群的概念，指出在可交换半群中，完全正则、弱左(右)正则和完全幂等是等价的。
2
In this paper, we retains the cone P normal cone, increasing operator A weaken the weakly continuous operator, space E weaken the weak complete space.