TX@徐扬@袁俭INTRODUCTIONIN1995,XU［1］PROPOSEDADOUBLELATICEORDEREDALGEBRAICSTRUCTURENAMEDL??MODULEANDDISCUSEDITSALGEBRAICANDANALYTICALP...“,”In this paper a concept of lattice convergence is proposed and its properties are discussed. The convergence relations between R and M are studied. From these results several convergence criteria are obtained.