中文摘要：

借助L-滤子给出了L-滤子收敛结构的对角化条件,并给出它的两种等价刻画。最后证明了L-滤子拓扑收敛空间和L-拓扑空间是范畴同构的。

英文摘要：

In this paper the diagonal condition in L-filter convergence structure is given by means of Lfilter which is a crisp subset,and then two equivalent characterizations of the diagonal condition are presented.Lastly,it is proved that L-filter topological convergence space is categorically isomorphic to L-topological space.