ZHANG Shi-xian1,LU Xin-min1,2(1.Faculty of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China;2.Department of Mathematics,Nanjing University,Nanjing 210093,China)
Abstract:Pierece proved that,for any distributive lattice L with a minimal element 0,there exists a Pierece’s homomorphism f:L→L such that Kerf=0 and f(a)=f(b) in and only if a⊥=b⊥,where a,b∈L and for x∈L,x⊥={y∈L:y∧x=0}.In this note,we discusses the uniqu