设G为局部紧群，在一致连续函数空间U（ G）上，用两种方法证明左不变平均和拓扑左不变的等价性。
On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
FD集中根据左部等价形成划分，划分的各子集根据左部的依赖关系形成一个有向图，有向图中每一个节点的FD可能是一个符合BCNF的子模式的FD，其关键字就是各子集的等价左部。
Digraph will be constructed by using the dependence of the left of subset's FD. Some nodes will help to decompose a subschema of BCNF. The key of the subschema is the left or left's equivalence.
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。
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.
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